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प्रश्न
Simplify of the following:
`root(3)4 xx root(3)16`
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उत्तर
We know that `root(n)a xx root(n)b = root(n)(ab)`.
We will use this property to simplify the expression `root(3)4 xx root(3)(16)`
`∴ root(3)(4) xx root(3)(16) = root(3)(64)`
`= root(3)(4^3)`
`= (4)^1`
= 4
Hence the value of the given expression is 4
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संबंधित प्रश्न
Simplify the following expressions:
`(sqrt3 + sqrt7)^2`
Rationalise the denominator of each of the following
`3/sqrt5`
Express the following with rational denominator:
`16/(sqrt41 - 5)`
In the following determine rational numbers a and b:
`(4 + sqrt2)/(2 + sqrt2) = n - sqrtb`
In the following determine rational numbers a and b:
`(3 + sqrt2)/(3 - sqrt2) = a + bsqrt2`
The number obtained on rationalising the denominator of `1/(sqrt(7) - 2)` is ______.
Rationalise the denominator of the following:
`16/(sqrt(41) - 5)`
Rationalise the denominator of the following:
`(3sqrt(5) + sqrt(3))/(sqrt(5) - sqrt(3))`
Find the value of a and b in the following:
`(sqrt(2) + sqrt(3))/(3sqrt(2) - 2sqrt(3)) = 2 - bsqrt(6)`
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.
`4/sqrt(3)`
