Question

What is the following product? sqrt 12*sqrt 18

Answer 1

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√12*√18

2√3√18

2√3 x 3√2

2 x 3√3 x 2

2 x 3√6

6√6 or 14.696938
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Answer 2

Answer:

$6\sqrt6$

Step-by-step explanation:

We are given that

$\sqrt{12}\times \sqrt{18}$

We have to find the value of given product.

$\sqrt{12}\times \sqrt{18}$

$12=2\times 2\times 3$

$18=3\times 3\times 2$

Substitute the values

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

The product can be written as

$2\sqrt3\times 3\sqrt2$

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

$6\sqrt6$

Hence, the value of given product=$6\sqrt6$