Question
Factor the given radicand using the product property of square roots. √200
Hint:
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- 10√2
Step-by-step solution:-
Given expression = √200
∴ Given expression = √2 × 2 × 2 × 5 × 5 …................................. (Factorising the given radicand)
∴ Given expression = √(2 × 2) × √(5 × 5) ×√2 …........................ [Product property of radicals i.e. √m × √n = √(mn)]
∴ Given expression = √(2)2 × √(5)2 × √2
∴ Given expression = (2)2/2 × (5)2/2 × √2 .................................... [Power rule- m√(bn) = b n/m]
∴ Given expression = (2)1 × (5)1 × √2
∴ Given expression = 2 × 5 × √2
∴ Given expression = 10√2
Final Answer:-
∴ The given radicand can be factorised using product property as- 10√2
Related Questions to study
What is the solution of 1200 - 5(3X + 30) = 600?
What is the solution of 1200 - 5(3X + 30) = 600?
A company manufactures cell phone cases. the length of a certain case must be with in of as shown. All cases with lengths outside of this range are removed from the inventory How could you use an absolute value inequality to represent the lengths of all the cases that should be removed ? Explain.
A company manufactures cell phone cases. the length of a certain case must be with in of as shown. All cases with lengths outside of this range are removed from the inventory How could you use an absolute value inequality to represent the lengths of all the cases that should be removed ? Explain.
"Anna bought 8 tetras and 2 rainbow fish for her aquarium. The rainbow fish cost $6 more than the tetras. She paid a total of $37. Which of the following are true ? Select all that apply ;
A. The cost of 4 tetras is the same as the cost of a rainbow fish.
B. One rainbow fish plus 5 tetras Cost $21.
C. An equation to find the cost r, in dollars of a rainbow fish is 8r + 2(r + 6) = 37
D. Reducing the number of rainbow fish by 1 would result in a total cost of $28.50
E. An equation to find the cost t, in dollars , of a tetra is 8t + 2t + 6 = 37
Let's talk about the cost equation.
A company must determine the cost of producing and selling one of its products to create a cost equation. It must also calculate the overhead costs of production. Typically, the cost equation is the cost of manufacturing and selling one item multiplied by the number of items sold and added to the company's overhead costs.
For example, a company with $300,000 in overhead costs that manufacture and sells products that cost the company $5 each has a cost equation of 300,000 + $5. (5 x number of products sold).
"Anna bought 8 tetras and 2 rainbow fish for her aquarium. The rainbow fish cost $6 more than the tetras. She paid a total of $37. Which of the following are true ? Select all that apply ;
A. The cost of 4 tetras is the same as the cost of a rainbow fish.
B. One rainbow fish plus 5 tetras Cost $21.
C. An equation to find the cost r, in dollars of a rainbow fish is 8r + 2(r + 6) = 37
D. Reducing the number of rainbow fish by 1 would result in a total cost of $28.50
E. An equation to find the cost t, in dollars , of a tetra is 8t + 2t + 6 = 37
Let's talk about the cost equation.
A company must determine the cost of producing and selling one of its products to create a cost equation. It must also calculate the overhead costs of production. Typically, the cost equation is the cost of manufacturing and selling one item multiplied by the number of items sold and added to the company's overhead costs.
For example, a company with $300,000 in overhead costs that manufacture and sells products that cost the company $5 each has a cost equation of 300,000 + $5. (5 x number of products sold).