Mathematics: Ineed rn its an simplify. the square root of 24 multiplied by the square root of 12 answer choices: a) 2sqroot 12 b) 6 c) 12sqroot 2 d) 288 i need the correct answer asap! (worth 10 points)

You only have to check the first few, since as the factors increase, the numbers go up faster. Checking, 3 and 9 both divide 108. The answers are 3 and 9....

Ineed rn its an simplify. the square root of 24

Ответ:

bella354

10.03.2022

Mathematics

The answer is C) $12\sqrt{2}$ .

Step-by-step explanation:

For a real number ,

$\sqrt{a} \cdot \sqrt{a} = a$ .

In other words, multiplying a square root by itself gets rid of the square root.

How does this rule apply here?

$24 = 2\times 12$ .

Similarly,

$\sqrt{24} = \sqrt{2}\times \sqrt{12}$ .

That is:

$\begin{aligned}\sqrt{24}\times \sqrt{12} &= (\sqrt{2}\times \sqrt{12}) \times \sqrt{12}\\&=\sqrt{2}\times (\sqrt{12}\times \sqrt{12}) && \begin{array}{l}\text{By the associative property}\\\text{of multiplication}\end{array}\\&=\sqrt{2} \times 12\\ &= 12\sqrt{2}\end{aligned}$ .

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Ineed rn its an simplify. the square root of 24 multiplied by the square root of 12 answer choices: a) 2sqroot 12 b) 6 c) 12sqroot 2 d) 288 i need the correct answer asap! (worth 10 points)

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