Advertisements
Advertisements
Question
`root(4)root(3)(2^2)` equals to ______.
Options
`2^(-1/6)`
`2^-6`
`2^(1/6)`
`2^6`
Advertisements
Solution
`root(4)root(3)(2^2)` equals to `underlinebb(2^(1/6))`.
Explanation:
Given: Number `root(4)root(3)(2^2)`
`root(4)root(3)(2^2) = root(4)((2)^(2/3)`
= `(2)^(2/3 xx 1/4)`
= `(2)^(1/6)`
APPEARS IN
RELATED QUESTIONS
Rationalise the denominator of the following
`(sqrt2 + sqrt5)/3`
Simplify `(3sqrt2 - 2sqrt3)/(3sqrt2 + 2sqrt3) + sqrt12/(sqrt3 - sqrt2)`
if `x = (sqrt3 + 1)/2` find the value of `4x^2 +2x^2 - 8x + 7`
Write the reciprocal of \[5 + \sqrt{2}\].
Rationalise the denominator of the following:
`1/(sqrt7-2)`
Rationalise the denominator of the following:
`(3 + sqrt(2))/(4sqrt(2))`
Rationalise the denominator of the following:
`(2 + sqrt(3))/(2 - sqrt(3))`
Rationalise the denominator of the following:
`(4sqrt(3) + 5sqrt(2))/(sqrt(48) + sqrt(18))`
Find the value of a and b in the following:
`(3 - sqrt(5))/(3 + 2sqrt(5)) = asqrt(5) - 19/11`
Find the value of a and b in the following:
`(7 + sqrt(5))/(7 - sqrt(5)) - (7 - sqrt(5))/(7 + sqrt(5)) = a + 7/11 sqrt(5)b`
