Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

Rewrite expression to remove perfect square factors other than 1 in radicand. √44

hint Hint:

A radical expression refers to an expression containing a radical (√) symbol, commonly called as a root symbol.
A perfect square refers to a number that can be expressed as the product of an integer by itself.
We will simplify the given expressions, removing all the perfect square factors from under the radical sign.

The correct answer is: Final Answer:- ∴ The given expression can be written as 2√11 after removing all perfect square factors other than 1.

Step-by-step solution:-
Given expression = √44
∴ Given expression = √2 × 2 × 11 ….......................... (Factorizing the term 44)
∴ Given expression = √(2 × 2) × √11 …..................... [Product property- √m × √n = √(mn)]
∴ Given expression = √(2)²× √11
∴ Given expression = (2)^2/2 × √11 ............................ [Power rule- m√(bⁿ) = b ^n/m]
∴ Given expression = (2)¹ × √11
∴ Given expression = 2√11
Final Answer:-
∴ The given expression can be written as 2√11 after removing all perfect square factors other than 1.

Related Questions to study

Sasha is solving the absolute value equation $vertical line 2 X vertical line plus 4 equals 8$ , What is the first step she should take ?

Sasha is solving the absolute value equation $vertical line 2 X vertical line plus 4 equals 8$ , What is the first step she should take ?

On a road trip, Andrew plans to use his cruise control for 125 mi, plus or minus 20 mi. Write and solve an equation to find the minimum and maximum number of hours for Andrew's road trip?

On a road trip, Andrew plans to use his cruise control for 125 mi, plus or minus 20 mi. Write and solve an equation to find the minimum and maximum number of hours for Andrew's road trip?

Solve each absolute value inequality. Graph the solution:
$vertical line x vertical line plus 2.4 less than 3.6$

Solve each absolute value inequality. Graph the solution:
$vertical line x vertical line plus 2.4 less than 3.6$

parallel

Solve each absolute value equation and graph the solution:
$vertical line 4 x minus 12 vertical line less or equal than 20$

Solve each absolute value equation and graph the solution:
$vertical line 4 x minus 12 vertical line less or equal than 20$

Compare the given radical expressions. √72 and 6√2

Compare the given radical expressions. √72 and 6√2

Solve each absolute value equation and graph the solution:
$vertical line 3 x minus 6 vertical line greater or equal than 9$

Solve each absolute value equation and graph the solution:
$vertical line 3 x minus 6 vertical line greater or equal than 9$

parallel

Compare the given radical expressions. √36 and 3√6

Compare the given radical expressions. √36 and 3√6

Solve each absolute value equation :
$vertical line 2 x minus 8 vertical line equals 16$

Solve each absolute value equation :
$vertical line 2 x minus 8 vertical line equals 16$

Solve each absolute value equation :
$5 equals vertical line x vertical line plus 3$

Solve each absolute value equation :
$5 equals vertical line x vertical line plus 3$

parallel

Demi and Margaret record the weather in their respective cities on weekend days

Demi and Margaret record the weather in their respective cities on weekend days

You ask 70 of your classmates if they have any siblings. complete the two-way frequency table to show the results of the survey.

You ask 70 of your classmates if they have any siblings. complete the two-way frequency table to show the results of the survey.

You ask 70 of your classmates if they have any siblings. complete the two-way frequency table to show the results of the survey.

You ask 70 of your classmates if they have any siblings. complete the two-way frequency table to show the results of the survey.

parallel

Do the data in the two-way frequency table support the following statement? Explain. There are more middle school students who wear glasses than high school students who wear contacts.

Do the data in the two-way frequency table support the following statement? Explain. There are more middle school students who wear glasses than high school students who wear contacts.

A Basketball Coach closely watches the shots of 60 players during basketball try-outs. Complete the two-way frequency table to show her observations.

A Basketball Coach closely watches the shots of 60 players during basketball try-outs. Complete the two-way frequency table to show her observations.

One Hundred students were asked how they travelled to school. Of the girls, 19 rode in a car, 7 rode the bus, and 27 took the train. Of the boys, 12 took the train, 25 rode in a car and 10 rode the bus. Construct a two-way frequency table. Then tell which mode of transportation is the most popular. Explain.

One Hundred students were asked how they travelled to school. Of the girls, 19 rode in a car, 7 rode the bus, and 27 took the train. Of the boys, 12 took the train, 25 rode in a car and 10 rode the bus. Construct a two-way frequency table. Then tell which mode of transportation is the most popular. Explain.

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.