Question

Rationalizing factor of the numerator of 7- √5/7+ √5 is

Answer 1

Answer:

√5

Step-by-step explanation:

because√5÷√7

if divided and then only √5 is left

Answer 2

Step-by-step explanation:

$\\ \red\bigstar\tt\: \dfrac{7-sqroot5}{7+sqroot5}$

By rationalizing them

$\huge\tt\red{Solution}$

☞$\\ \red\bigstar\tt\: \dfrac{7-sqrt5 x 7-sqrt5}{7+sqrt5 x 7-sqrt5}$

☞$\\ \red\bigstar\tt\: \dfrac{7(7-sqrt5)-sqrt5(7-sqrt5)}{49-5}$

☞$\\ \red\bigstar\tt\: \dfrac{49-14sqrt5+5}{44}$

☞$\\ \red\bigstar\tt\: \dfrac{54-14sqrt5}{44}$