How do you simplify $\sqrt{9} \times 3 \sqrt{2}$ $sqrt 9 times 3 sqrt 2$ ?

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How do you simplify $\sqrt{9} \times 3 \sqrt{2}$ $sqrt 9 times 3 sqrt 2$ ?

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Answer 1 · 2016-03-25T03:01:36

$9 \sqrt{2}$ $9sqrt2$

Explanation:

First, notice that $\sqrt{9} = 3$ $sqrt9=3$ , since $3^{2} = 9$ $3^2=9$ .

So, the expression more simply becomes:

$3 \times 3 \sqrt{2}$ $3xx3sqrt2$

Recall that $3 \sqrt{2}$ $3sqrt2$ is just a multiplication problem between $3$ $3$ and $\sqrt{2}$ $sqrt2$ , that is, $3 \sqrt{2} = 3 \times \sqrt{2}$ $3sqrt2=3xxsqrt2$ .

Hence the expression can be written as

$3 \times 3 \times \sqrt{2}$ $3xx3xxsqrt2$

We can simplify $3 \times 3 = 9$ $3xx3=9$ . We cannot do anything with the $\sqrt{2}$ $sqrt2$ , so our final answer is

$9 \sqrt{2}$ $9sqrt2$

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How do you simplify $\sqrt{9} \times 3 \sqrt{2}$ $sqrt 9 times 3 sqrt 2$ ?

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How do you simplify $\sqrt{9} \times 3 \sqrt{2}$ $sqrt 9 times 3 sqrt 2$ ?