Advertisements
Advertisements
प्रश्न
`root(4)root(3)(2^2)` equals to ______.
विकल्प
`2^(-1/6)`
`2^-6`
`2^(1/6)`
`2^6`
Advertisements
उत्तर
`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
संबंधित प्रश्न
Classify the following numbers as rational or irrational:
`2-sqrt5`
Rationalise the denominator of each of the following
`1/sqrt12`
Express the following with rational denominator:
`16/(sqrt41 - 5)`
Rationales the denominator and simplify:
`(1 + sqrt2)/(3 - 2sqrt2)`
In the following determine rational numbers a and b:
`(4 + 3sqrt5)/(4 - 3sqrt5) = a + bsqrt5`
Find the value of `6/(sqrt5 - sqrt3)` it being given that `sqrt3 = 1.732` and `sqrt5 = 2.236`
Classify the following number as rational or irrational:
`(3 + sqrt23) - sqrt23`
Rationalise the denominator of the following:
`2/(3sqrt(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.
`sqrt(2)/(2 + sqrt(2)`
Simplify:
`(7sqrt(3))/(sqrt(10) + sqrt(3)) - (2sqrt(5))/(sqrt(6) + sqrt(5)) - (3sqrt(2))/(sqrt(15) + 3sqrt(2))`
