Question

simplify the radical expression square root of 20x^13y^5/5xy^7. The answer choices are: a( sqrt 4x^12/y^2 b( 2x^6/y^2 c( 2 sqrt x^12/y^2 d( 2x^6y

Answer 1

Option C is correct

Explanation:

We need to simplify the radical

`\sqrt{(20x^(13)y^5)/(5xy^7)}`

We know that a^m/a^n = a^m-n and 20/5 = 4

Solving

`\sqrt{4x^(13-1)y^(5-7)}\\\sqrt{4x^(12)y^(-2)}\\`

Now, √4 = 2 and a^-m = 1/a^m

Applying,

`2\sqrt{(x^(12))/(y^2)}\\`

So, Option C
`2\sqrt{(x^(12))/(y^2)}\\` is correct.