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# The Product of the Square Root of X with the Cube Root of X is - Mathematics

MCQ

The product of the square root of x with the cube root of x is

#### Options

•  cube root of the square root of x

• sixth root of the fifth power of x

•  fifth root of the sixth power of x

• sixth root of x

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#### Solution

We have to find the product (say L) of the square root of x with the cube root of x is. So,

L = 2sqrtx xx 3sqrtx

= x^(1/2) xx x ^(1/3)

= x^(1/2+1/3)

= x^((1xx3)/(2xx3)+(1xx2)/(3xx2))

$= x^\frac{3 + 2}{6} = x^\frac{5}{6}$

The product of the square root of x with the cube root of x is x^(5/6)

Hence the correct alternative is  b.

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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 2 Exponents of Real Numbers
Q 3 | Page 29
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