Question

What's the answer ? \sqrt{9 \times 144} " alt=" \sqrt{9 \times 144} " align="absmiddle" class="latex-formula">
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Answer 1

Answer:

Solution given:

$\sqrt{9 \times 144}$

$\sqrt{3² \times 12²}$

±(3*12)

±36 is a required answer.

Answer 2

Answer:

36

Step-by-step explanation:

Square roots have a neat property: $\sqrt{ab}=\sqrt{a}\sqrt{b}$ provided a and b are positive real numbers.

This property is what's behind simplifying square roots.  You look for perfect square factors (4, 9, 16, 25, 36, ...) inside the square root sign.

Example: $\sqrt{20}=\sqrt{4\times5}=\sqrt{4}\sqrt{5}=2\sqrt{5}$.

In this problem, both factors are perfect squares.

$\sqrt{9\times144}=\sqrt{9}\sqrt{144}=3\times12=36$