Question

Match each expression with its equivalent expression.

Answer 1

Answer:

a -> 3

b -> 4

c -> 1

d -> 5

e -> 2

Step-by-step explanation:

We apply the properties to solve this question.

a. √4x^2y^4

$\sqrt{4x^2y^4} = \sqrt{4}\sqrt{x^2}\sqrt{y^4} = 2xy^2$

So a -> 3

b. √8x^2y

$\sqrt{8x^2y} = \sqrt{8}\sqrt{x^2}\sqrt{y} = \sqrt{4*2}x\sqrt{y} = \sqrt{4}\sqrt{2}x\sqrt{y} = 2x\sqrt{2}\sqrt{y} = 2x\sqrt{2y}$

So b -> 4

c. √4x^2y

$\sqrt{4x^2y} = \sqrt{4}\sqrt{x^2}\sqrt{y} = 2x\sqrt{y}$

So c -> 1

d. √16xy^2

$\sqrt{16xy^2} = \sqrt{16}\sqrt{x}\sqrt{y^2} = 4\sqrt{x}y = 4y\sqrt{x}$

So d -> 5

e. √8xy^2

$\sqrt{8xy^2} = \sqrt{8}\sqrt{x}\sqrt{y^2} = \sqrt{4*2}\sqrt{x}y = \sqrt{4}\sqrt{2}\sqrt{x}y = 2y\sqrt{2}\sqrt{x} = 2y\sqrt{2x}$

So e -> 2