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4vir4ik [10]
2 years ago
11

Simplify fully V8 x V18

Mathematics
2 answers:
MariettaO [177]2 years ago
7 0

Answer:

12

Step-by-step explanation:

·\sqrt{8}×\sqrt{18}=\sqrt{144}

\sqrt{144}=12

tangare [24]2 years ago
5 0

Answer:

12

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab} and \sqrt{a} × \sqrt{a} = a

Given

\sqrt{8} × \sqrt{18}

Simplifying each radical

\sqrt{8} = \sqrt{4(2)} = \sqrt{4} × \sqrt{2} = 2\sqrt{2}

\sqrt{18} = \sqrt{9(2)} = \sqrt{9} × \sqrt{2} = 3\sqrt{2}

Thus

\sqrt{8} × \sqrt{18}

= 2\sqrt{2} × 3\sqrt{2}

= 2 × 3 × \sqrt{2} × \sqrt{2}

= 6 × 2

= 12

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