Question

If a=2√5+2√3: Find 1/a ​

Answer 1

Step-by-step explanation:

a=2root5+2root3

1/a=1/(2root5+2root3)

rationalize the denominator

1/a=(2root5-2root3)/(2root5+2root3)(2root5-2root3)

=(2root5-2root3)/[2(5)-2(3)]

=(2root5-2root3)(10-6)

=(2root5-2root3)/4

=[(5)^1/2-(3)^1/2]/2