Home
Class 14
MATHS
The value of (3+2sqrt2)^(-3)+(3-2sqrt2)^...

The value of `(3+2sqrt2)^(-3)+(3-2sqrt2)^(-3)` is equal to

A

198

B

180

C

108

D

189

Text Solution

Verified by Experts

The correct Answer is:
A
`(3+ 2sqrt2)^(-3) + (3-2sqrt2)^(-3)`
`implies (3- 2sqrt2)^3 + (3+ 2sqrt2)^3`
`implies (3)^3 - (2sqrt2)^3 - 3 xx 3 xx 2 sqrt2 (3-2sqrt2)+(3)^3 + (2sqrt2)^3 + 3 xx 3 xx 2sqrt2 (3-2sqrt2)`
`implies 27 + 27 - 54 sqrt2 + 72 + 54sqrt2 + 72`
`implies 198`
Promotional Banner

Similar Questions

Explore conceptually related problems

Value of (-1+sqrt(-3))^(2)+(-1-sqrt(-3))^(2) is equal to

The value of (sqrt3 + sqrt2)^3 + (sqrt3 -sqrt2)^3 is ………..

The value of log sqrt(3+2sqrt(2))+sqrt(3-2sqrt(2))2^(9) is

The value of sqrt(2 + sqrt(3)) + sqrt(2 - sqrt(3)) is

The value of log sqrt(3+2sqrt(2))+sqrt(3-2sqrt(2))(2^(9)) is

The value of (sqrt(3+2sqrt2)+sqrt(3-2sqrt2))^(2^(9)) is ________.