Question

One-third of the square root of a number is 3. Find the number.

Answer 1

Answer:

3

Step-by-step explanation:

(3)sq = 9

1/3 of 9 =3

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Answer 2

The required number = 81

Given :

One-third of the square root of a number is 3

To find :

The number

Solution :

Step 1 of 2 :

Form the equation

Let x be the required number

By the given condition

$\displaystyle \sf{ \frac{1}{3} \sqrt{x} = 3 }$

Step 2 of 2 :

Find the number

$\displaystyle \sf{ \frac{1}{3} \sqrt{x} = 3 }$

$\displaystyle \sf{ \implies \sqrt{x} = 3 \times 3 }$

$\displaystyle \sf{ \implies \sqrt{x} = 9 }$

$\displaystyle \sf{ \implies x = {9}^{2} }$

$\displaystyle \sf{ \implies x = 81}$

Hence the required number = 81

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