Question

Rationalize the denominators of a) 5 by root 2+ root 3 b) 6 root 5- 5 root 3by 2 root 3+4 root 5

Answer 1

Answer:1.59

Step-by-step explanation:

a) 5 / root 2 + root3

= (5/root 2 + root 3) * [( root 2- root 3) /(root2 - root3)]

= 5*(root 2 - root 3) / [ ( root 2)^2 - (root3) ^2]

=5 * (root 2 - root3) / (2-3)

= 5 * (root2 - root 3) / (-1)

= - 5 * ( 1.414 - 1.732)

= - 5 * (-0.318)

= 1.59