Question

please tell fast please ​

Answer 1

by solving this question the answer u get is 8

Answer 2

Answer : 42 / 11

$\huge\bf\underline{\underline{ Given:-}}$

$\bf simplify \: \frac{4 + \sqrt{5} }{4 - \sqrt{5} } + \frac{4 - \sqrt{5} }{4 + \sqrt{5} }$

$\huge\sf\underline{\underline{ Answer :-}}$

$\implies \: \frac{4 + \sqrt{5} }{4 - \sqrt{5} } + \frac{4 - \sqrt{5} }{4 + \sqrt{5} }$

$\implies \: \frac{(4 + \sqrt{5} ) {}^{2} + (4 - \sqrt{5}) {}^{2} }{ {4}^{2} - {( \sqrt{5} )}^{2} }$

$\implies \: \frac{16 + 5 + 8 \sqrt{5 } + 16 + 5 - 8 \sqrt{5} }{16 - 5}$

$\implies \: \frac{42}{11}$

$\rule{15cm}{0.02cm}$

$\huge\sf\underline{\underline{Formulas \: Used:-}}$

• $\bf\frac{a+b}{a-b} + \frac{a - b}{a + b} = \frac{(a+b)²+(a-b)²}{a² - b² }$
• $\bf(a+b)² = a² + 2ab + b²$
• $\bf(a - b)² = a² - 2ab + b²$
• $\bf(a+b)(a-b) =a² - b²$