Question

What is answer 3 root 2 whole square

Answer 1

Value of $\bf ( {3 \sqrt{2} })^{2}$ is 18.

Given:

• A number
• 3√2

To find:

• Whole square of number

Solution:

We know that

1. $\bf ( {ab)}^{n} = {a}^{n} \times {b}^{n}$
2. $\bf ( \sqrt{n})^{2} = n$

Apply given formula of exponent.

$( {3 \sqrt{2} })^{2} = {3}^{2} \times ( { \sqrt{2} )}^{2}$

or

$( {3 \sqrt{2} })^{2} = 9 \times 2$

or

$\bf \red{( {3 \sqrt{2} })^{2} = 18}$

Thus,

Value of (3√2)² is 18.

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Answer 2

Answer: 18

Step-by-step explanation:

Given: $3\sqrt{2}$

To find: The square of the given number.

Solution:

If we square a number under square root then the root gets cancelled with the square and the number comes out as it is.

eg. $(\sqrt{a} )^{2} =a$

So, square of  $3\sqrt{2}$ is,

          $(3\sqrt{2})^{2}$=9×2

                    = 18.  

• Hence, the required answer is 18.

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