Question

Simplify 1/√5-√2 solve this if you solve this i will mark you as brainliest​

Answer 1

=1/√5-√2=0

=(1/√5)(*5)(/5)-(2)=0

=(√5/5)-(√2/1)=0

TAKE THE LCM

=(1√5-5√2)/(5)

AAYA SAMAJ ME.

Answer 2

GIVEN :–

• A number $\\ { \bold{\dfrac{1}{ \sqrt{5} - \sqrt{2}}}}$

TO FIND :–

• Simplified form = ?

SOLUTION :–

• Let the number –

$\\ \implies { \bold{x = \dfrac{1}{ \sqrt{5} - \sqrt{2} } }}$

• On rationalizing the denominator –

$\\ \implies { \bold{x = \dfrac{1}{ \sqrt{5} - \sqrt{2} } \times \ffrac{ \sqrt{5} + \sqrt{2}}{ \sqrt{5} + \sqrt{2} } }}$

$\\ \implies { \bold{x = \dfrac{\sqrt{5} + \sqrt{2}}{ (\sqrt{5} + \sqrt{2})({ \sqrt{5} - \sqrt{2} )} } }}$

• On Using identity –

$\\ \implies \large{ \boxed{ \bold{(a + b)(a - b) = {a}^{2} - {b}^{2}}}}$

• So that –

$\\ \implies { \bold{x = \dfrac{\sqrt{5} + \sqrt{2}}{({ \sqrt{5} ) ^{2} - (\sqrt{2} )^{2} } } }}$

$\\ \implies { \bold{x = \dfrac{\sqrt{5} + \sqrt{2}}{5 - 2} }}$

$\\ \implies { \bold{x = \dfrac{\sqrt{5} + \sqrt{2}}{3} }}$

$\\ \implies \large{ \boxed{ \bold{x = \dfrac{1}{3} ({\sqrt{5} + \sqrt{2})}}}}$

$\\ \rule{220}{2}$