Question
Find the value of `(2^(1/4) - 1) ( 2^(3/4) + 2^ (1/2) + 2^(1/4) + 1)`
Answer: Option A
Was this answer helpful ?
Sol. Putting `2^(1/4) = x`, we get :
`(2^(1/4) - 1) ( 2^(3/4) + 2^ (1/2) + 2^(1/4) + 1)`
= `( x - 1) ( x^3 + x^2 + x + 1)` where `x = 2^(1/4)`
= ` (x - 1) {x^2( x + 1) + (x + 1)}`
= `(x - 1) ( x + 1 ) (x^2 + 1)`
= `(x^2 - 1) (x^2 + 1)`
= `(x^4 - 1)`
= `[2^((1/4)^4) - 1]` =` [2 ^(1/4 xx 4) - 1 ] = 2 - 1 = 1`.
Was this answer helpful ?
More Questions on This Topic :
Question 7.
Evaluate : `(256)^0.16 xx (16)^0....
Question 8.
Evaluate : ` (.00032)^(3/5)`
....
Question 9.
Simplify : `(8/125)^-(4/3)`
....
Question 10.
Simplify : &nbs....
Latest Videos
Latest Test Papers
Submit Solution