Question

rationalize the denominator in the following : Question 1 : 1 / √7 - √6 Question 2 : 1 / √5 + √2 [ 3 marker ]

Answer 1

Answer:

Step-by-step explanation:

1..

1/$\sqrt{7}$-$\sqrt{6}$ =(1/$\sqrt{7}$-$\sqrt{6}$ )  ($\sqrt{7}$+$\sqrt{6}$ /$\sqrt{7}$+$\sqrt{6}$ )

=$\sqrt{7}$+$\sqrt{6}$ /7-6

=$\sqrt{7}$+$\sqrt{6}$

2..

1/($\sqrt{5} + \sqrt{2}$)=( 1/($\sqrt{5} + \sqrt{2}$))  (($\sqrt{5}- \sqrt{2}$0)/($\sqrt{5}- \sqrt{2}$))

=($\sqrt{5}- \sqrt{2}$)/(5-2)

=($\sqrt{5}- \sqrt{2}$)/3