How do you simplify $\sqrt{12} \cdot \sqrt{30}$ $sqrt12*sqrt30$ ?

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How do you simplify $\sqrt{12} \cdot \sqrt{30}$ $sqrt12*sqrt30$ ?

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Answer 1 · 2018-05-01T20:53:15

$6 \sqrt{10}$ $6sqrt10$

Explanation:

$\sqrt{12} \cdot \sqrt{30} = \sqrt{4 \cdot 3} \cdot \sqrt{3 \cdot 10} = \sqrt{4} \cdot \sqrt{3} \cdot \sqrt{3} \cdot \sqrt{10} = 2 \cdot 3 \cdot \sqrt{10} = 6 \sqrt{10}$ $sqrt12*sqrt30=sqrt(4*3)*sqrt(3*10)=sqrt4*sqrt3*sqrt3*sqrt10=2*3*sqrt10=6sqrt10$

Answer 2 · 2018-05-01T20:54:03

exact form: $6 \sqrt{10}$ $6sqrt10$

decimal form: $18.97366596 \dots$ $18.97366596…$

Explanation:

Combine using the product rule for radicals.
$\sqrt{12} \cdot \sqrt{30} = \sqrt{12 \cdot 30}$ $sqrt12 *sqrt30 =sqrt(12⋅30)$

Factor $36$ $36$ out of $360$ $360$

$= \sqrt{36 (10)}$ $=sqrt(36(10))$

Rewrite $36$ $36$ as $6^{2}$ $6^2$
Pull the factor out from under the radical.

exact form: $= 6 \sqrt{10}$ $=6sqrt10$

decimal form: $18.97366596 \dots$ $18.97366596…$

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How do you simplify $\sqrt{12} \cdot \sqrt{30}$ $sqrt12*sqrt30$ ?

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