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
Simplify the following expressions:
`(4 + sqrt7)(3 + sqrt2)`
Rationales the denominator and simplify:
`(1 + sqrt2)/(3 - 2sqrt2)`
Find the values the following correct to three places of decimals, it being given that `sqrt2 = 1.4142`, `sqrt3 = 1.732`, `sqrt5 = 2.2360`, `sqrt6 = 2.4495` and `sqrt10 = 3.162`
`(1 + sqrt2)/(3 - 2sqrt2)`
Simplify `(7 + 3sqrt5)/(3 + sqrt5) - (7 - 3sqrt5)/(3 - sqrt5)`
if `x = (sqrt3 + 1)/2` find the value of `4x^2 +2x^2 - 8x + 7`
If \[x = 3 + 2\sqrt{2}\],then find the value of \[\sqrt{x} - \frac{1}{\sqrt{x}}\].
Rationalise the denominator of the following:
`1/(sqrt7-sqrt6)`
Value of (256)0.16 × (256)0.09 is ______.
Simplify the following:
`3sqrt(3) + 2sqrt(27) + 7/sqrt(3)`
Rationalise the denominator in the following and hence evaluate by taking `sqrt(2) = 1.414, sqrt(3) = 1.732` and `sqrt(5) = 2.236`, upto three places of decimal.
`6/sqrt(6)`
