Maths-
General
Easy

Question

Factor the given radicand using the product property of square roots. √11x5

hintHint:

A radical expression refers to an expression containing a radical (√) symbol, commonly called as a root symbol.
A radicand refers to the number that is preceded by a radical sign.

The correct answer is: The given radicand can be factorised using product property as- x2√11x


    Step-by-step solution:-
    Given expression = √11x5
    ∴ Given expression = √(11 × x2+2+1)
    ∴ Given expression = √(11 × x2 × x2 × x1) ................................................... (an ⋅ am = an+m)
    ∴ Given expression = √11x × √(x2 × x2) …........................ [Product property of radicals i.e. √m × √n = √(mn)]
    ∴ Given expression = √11x × √(x2)2
    ∴ Given expression = √11x × (x2)2/2 .................................... [Power rule- m√(bn) = b n/m]
    ∴ Given expression = √11x × (x2)1
    ∴ Given expression = √11x × x2
    ∴ Given expression = x2√11x
    Final Answer:-
    ∴ The given radicand can be factorised using product property as- x2√11x

    Related Questions to study

    General
    Maths-

    Solve each absolute value inequality. Graph the solution
    2 vertical line 4 x vertical line minus 7 greater or equal than 25

    Solve each absolute value inequality. Graph the solution
    2 vertical line 4 x vertical line minus 7 greater or equal than 25

    Maths-General
    General
    Maths-

    A Scientist makes an acid solution by adding drops of acid to 1.2 L of water . The final volume the acid solution is 1.202 L, Assuming the volume of each drop is 0.05 mL, how many drops were added to the water ? About what percent of the solution is acid ? Round to the nearest hundredth of a percent .

    A Scientist makes an acid solution by adding drops of acid to 1.2 L of water . The final volume the acid solution is 1.202 L, Assuming the volume of each drop is 0.05 mL, how many drops were added to the water ? About what percent of the solution is acid ? Round to the nearest hundredth of a percent .

    Maths-General
    General
    Maths-

    Factor the given radicand using the product property of square roots. √40x4

    Factor the given radicand using the product property of square roots. √40x4

    Maths-General
    parallel
    General
    Maths-

    Yuson used her calculator to solve the equation 4x/5 - 8 = 3 , she entered the following on her screen and got an incorrect answer. How could she use parentheses to find the correct answer ? Explain. What is the correct answer ?

    Yuson used her calculator to solve the equation 4x/5 - 8 = 3 , she entered the following on her screen and got an incorrect answer. How could she use parentheses to find the correct answer ? Explain. What is the correct answer ?

    Maths-General
    General
    Maths-

    Solve each absolute value inequality. Graph the solution
    3 vertical line 2 X vertical line plus 1 greater than 25

    Solve each absolute value inequality. Graph the solution
    3 vertical line 2 X vertical line plus 1 greater than 25

    Maths-General
    General
    Maths-

    Factor the given radicand using the product property of square roots. √x7

    Factor the given radicand using the product property of square roots. √x7

    Maths-General
    parallel
    General
    Maths-

    There are nine water bottles in Devin’s refrigerator . He adds three full boxes of water bottles to the refrigerator . Then he adds two more boxes that each have one fewer bottle than a full box. When he is done , there are 67 bottles in the refrigerator. Write and solve an equation to find the number of bottles in a full box ?

    There are nine water bottles in Devin’s refrigerator . He adds three full boxes of water bottles to the refrigerator . Then he adds two more boxes that each have one fewer bottle than a full box. When he is done , there are 67 bottles in the refrigerator. Write and solve an equation to find the number of bottles in a full box ?

    Maths-General
    General
    Maths-

    Solve each absolute value inequality. Graph the solution
    2 vertical line x vertical line minus 1 less than 7

    Solve each absolute value inequality. Graph the solution
    2 vertical line x vertical line minus 1 less than 7

    Maths-General
    General
    Maths-

    A fastpitch softball player signs a six year contract. Hear agent expects that she will earn $1000000 over the next six years. If the agent is right, how many bonus payments , on average , should the pitcher expect each year, Explain.

    A fastpitch softball player signs a six year contract. Hear agent expects that she will earn $1000000 over the next six years. If the agent is right, how many bonus payments , on average , should the pitcher expect each year, Explain.

    Maths-General
    parallel
    General
    Maths-

    Factor the given radicand using the product property of square roots- √80

    Factor the given radicand using the product property of square roots- √80

    Maths-General
    General
    Maths-

    Solve absolute value equation :
    vertical line x vertical line plus 4 equals negative 9

    Solve absolute value equation :
    vertical line x vertical line plus 4 equals negative 9

    Maths-General
    General
    Maths-

    Solve absolute value equation :
    14 equals vertical line x vertical line plus 2

    Solve absolute value equation :
    14 equals vertical line x vertical line plus 2

    Maths-General
    parallel
    General
    Maths-

    Write an expression for each product without perfect square factors in the radicand. 2√12x9 × √18x5

    Write an expression for each product without perfect square factors in the radicand. 2√12x9 × √18x5

    Maths-General
    General
    Maths-

    Solve absolute value equation :
    vertical line x vertical line minus 4 equals 9

    Solve absolute value equation :
    vertical line x vertical line minus 4 equals 9

    Maths-General
    General
    Maths-

    A bee files at 20 feet per second directly to an orange groove from its hive. The bee stays at the orange groove for 15 min , then files directly back to the hive at 12 feet per second. It is away from the hive for a total of 20 mins.
    a) What equation can you use to find the distance of the orange grove from the hive ?
    b) How far is the orange grove from the hive ?

    A bee files at 20 feet per second directly to an orange groove from its hive. The bee stays at the orange groove for 15 min , then files directly back to the hive at 12 feet per second. It is away from the hive for a total of 20 mins.
    a) What equation can you use to find the distance of the orange grove from the hive ?
    b) How far is the orange grove from the hive ?

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.