Question

Find the value of 1/route8-3route2.

Answer 1

Heya !!!

$\frac{1}{ \sqrt{8} - 3 \sqrt{2} }$

On rationalizing the denominator we get,

$= \frac{1}{ \sqrt{8} - 3 \sqrt{2} } \times \frac{ \sqrt{8} + 3 \sqrt{2} }{ \sqrt{8} + 3 \sqrt{2} } \\ \\ = \frac{ \sqrt{8} + 3 \sqrt{2} }{ { (\sqrt{8} )}^{2} - {(3 \sqrt{2}) }^{2} } \\ \\ = \frac{ \sqrt{8} + 3 \sqrt{2} }{8 - 18} \\ \\ = \frac{ \sqrt{8} + 3 \sqrt{2} }{ - 10} \\ \\ = \frac{ - \sqrt{8} - 3 \sqrt{2} }{10}$

Hope this helps ☺

Answer 2

Heya !!!

1/ root 8 - 3 root 2

Rationalizing the denominator root 8 - 3 root 2

=> 1 / root 8 - 3 root 2 × root 8 + 3 root 2/ root 8 + 3 root 2

(root 8+3root 2)/(root 8-3root 3)×(root8+3root2)

=> ( root 8 + 3root 2) /(root8)² - (3root2)²

=> ( root 2 × 2 × 2 + 3root2)/8-18

=> 2root 2 + 3 root 2 / -10

=> 5 root 2 / -10

=> - 5 root 2 / 10

★ ★ ★ HOPE IT WILL HELP YOU ★ ★ ★