Question

solutions of both the questions......​

Answer 1

Step-by-step explanation:

i think this help you

this is the ques of rationalising factors this is so simple to solve

Answer 2

Answer:

8

100

Step-by-step explanation:

x = 1 + √2

1/x =  1/(1 + √2)

=> 1/x = (1/(1 + √2) ) *  ((√2 - 1)/(√2-1))

=> 1/x = (√2 - 1)/(2 - 1)

=> 1/x = √2 - 1

(x - 1/x)³

= ( 1 + √2 - (√2 - 1))³

= 2³

= 8

x + y =

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

(x + y)² = 10² = 100