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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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