Question

How to simplify √7-√5/√7+√5.please give me step by step explaination. I will mark you as a Brainlist.

Answer 1

in this ques. we rationalise the given term

then we apply (a+b)^2 formula or (a^2-b^2)

then solve

Answer 2

Hi friend

$\frac{ \sqrt{7 } - \sqrt{5} }{ \sqrt{7} + \sqrt{5} } \times \frac{ \sqrt{7} - \sqrt{5} }{ \sqrt{7 } - \sqrt{5} }$

Multiplying by

$\sqrt{7} - \sqrt{5}$

on both numerator and denominator

Now we have

$\frac{7 - (2 \times \sqrt{7} \times \sqrt{5} ) + 5}{ \sqrt{7 {}^{2} } - \sqrt{5} {}^{2} }$

Formulas used are

$(a - b) {}^{2} = a {}^{2} - 2ab + b {}^{2}$

$(a + b)(a - b) = a {}^{2} - b {}^{2}$

Now we have

$\frac{7 - 2 \sqrt{35} + 5 }{2}$

Hope it helps you ✌️

Please mark as brainliest