Question

Rationalize the denominator and simplify 2 root 6 minus root 5 upon 3 root 5 minus 2 root 6

Answer 1

AnSwEr

${\tt{\red{\underline{\large{Given}}}}}$

• $\tt\red{\dfrac{2\sqrt{6}-\sqrt{5}}{3\sqrt{5}-2\sqrt{6}}}$

${\sf{\green{\underline{\large{To\:find}}}}}$

• Rationalise

${\sf{\pink{\underline{\Large{Explanation}}}}}$

• $\tt\dfrac{2\sqrt{6}-{\sqrt{5}}}{3\sqrt{5}-2{\sqrt{6}}}$

Rationalising

• Let understand
• By step by step

$\tt\dfrac{2\sqrt{6}-\sqrt{5}}{3\sqrt{5}-2\sqrt{6}}\times\dfrac{3\sqrt{5}+2\sqrt{6}}{3\sqrt{5}+2\sqrt{6}}$

$\implies\tt\dfrac{2\sqrt{6}-\sqrt{5}\times\:3\sqrt{5}+2\sqrt{6}}{45-24}$

$\implies\tt\dfrac{2\sqrt{6}-sqrt{5}\times\:3\sqrt{5}+2\sqrt{6}}{21}$

=>2√6(3√5+2√6)-√5(3√5+2√6) / 21

=>6√30 + 24-15-2√30 / 21

=>(4√30-9)/ 21

Henece value be (4√30-9)/ 21

Answer 2

Answer:

....this is the answer