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ohaa [14]
2 years ago
13

What's the answer ?

\sqrt{9 \times 144} " alt=" \sqrt{9 \times 144} " align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
Troyanec [42]2 years ago
7 0

Answer:

Solution given:

\sqrt{9 \times 144}

\sqrt{3² \times 12²}

±(3*12)

±36 is a required answer.

Ivanshal [37]2 years ago
6 0

Answer:

36

Step-by-step explanation:

Square roots have a neat property: \sqrt{ab}=\sqrt{a}\sqrt{b} provided <em>a</em> and <em>b</em> 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

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