Question

ભારત ના વારસામાં વન્યજીવન નું મહત્વ આલેખો.​

Answer 1

Explanation:

$\Large{\bf{\green{\mathfrak{\dag{\underline{\underline{Given:-}}}}}}}$

$\sf \dfrac{6}{\sqrt{8} \: - \: 3}$

$\Large{\bf{\orange{\mathfrak{\dag{\underline{\underline{To \: Find:-}}}}}}}$

Rationalise the denominator

$\Large{\bf{\red{\mathfrak{\dag{\underline{\underline{Solution:-}}}}}}}$

Rationalising factor of denominator i.e √8 - 3 is √8 + 3.

Multiplying numerator and denominator with √8 + 3,

$\sf \dfrac{6}{\sqrt{8} \: - \: 3} \: * \: \dfrac{\sqrt{8} \: + \: 3}{\sqrt{8} \: + \: 3}$

$\sf \dfrac{(6)(\sqrt{8} \: + \: 3)}{(\sqrt{8} \: - \: 3)(\sqrt{8} \: + \: 3)}$

Here,

In the denominator we are using,

(a - b)(a + b) = a² - b²

$\sf \dfrac{6\sqrt{8} \: + \: 18}{(\sqrt{8})^2 \: - \: (3)^2}$

$\sf \dfrac{6\sqrt{8} \: + \: 18}{8 \: - \: 9}$

$\sf \dfrac{6\sqrt{8} \: + \: 18}{ - \: 1}$

$\sf - \: \bigg(\dfrac{6\sqrt{8} \: + \: 18}{1}\bigg)$

$\sf - \: (6\sqrt{8} \: + \: 18)$

$\sf - \: 6\sqrt{8} \: - \: 18$

Therefore,

$\boxed{\pink{\sf \dfrac{6}{\sqrt{8} \: - \: 3} \: = \: - \: 6\sqrt{8} \: - \: 18}}$