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