Find value of a and b if 2root3+root5/2root3-root5=aroot15+b

No intro-

First rationalize: root 5 + root 3 divided by root 5 - root 3,

we get, (root 5 + root 3)2 / (root 5 - root 3)( root 5 + root 3)

= (8+2 root 15)/2

now compare LHS and RHS,

(given), (8+2root15) / 2 = a+root 15b

=> 2(4+ root 15) / 2 = a+root15 b [here we removed the common factor and cancelled]

=> 4+ root 15 = a+ root 15 b

therefore, the value of 'a' can be 4 and the value of 'b' can be 1 ( as any no. multiplied with one will be the no. itself)

oof bai

the least common denominator is 40

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: