Question

if a= root 7 - root 5 / root 7 + root 5
then find a square

Answer 1

Step-by-step explanation:

Here, the given expression is,

For rationalizing the denominator,

Multiply both numerator and denominator by √7 - √5,

Answer 2

Answer:

a = $\sqrt{7}-\sqrt{5} / \sqrt{7} + \sqrt{5}$

a² = ($\sqrt{7}-\sqrt{5} / \sqrt{7} + \sqrt{5}$)²

a² = 7 - 5/7 + 5 - 2√5 - 10/√7 + 2√35

a² = 84 - 5 / 7 - 2√5 - 10/√7 + 2√35

a² = 79/7 - 2√5 - 10/√7 + 2√35