Question

6....................

Answer 1

option (a)

x - √7x / x - 7

Explanation:

Given the expression in the question

√x / (√x + √7)

There are 3 steps to follow

1. Multiply numerator and denominator by a radical that will get rid of the radical in the denominator.
2. Make sure all radicals are simplified.
3. Simplify the fraction if needed.

Step 1

Multiply by √x - √7

√x (√x - √7) / (√x + √7)(√x - √7)

√x .√x - √7.√x / (√x + √7)(√x - √7)

Step 2

a² - b² = (a+b)(a-b)

√x² - √7x / √x² - √7²

Step 3

x - √7x / x - 7