How do you simplify $\sqrt{1, 440}$ $sqrt(1,440)$ ?

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How do you simplify $\sqrt{1, 440}$ $sqrt(1,440)$ ?

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Answer 1 · 2018-03-09T18:41:35

$12 \sqrt{10}$ $12sqrt10$

Explanation:

$note that 1440 = 144 \times 10 and 144 is a perfect square$ $"note that " 1440=144xx10" and 144 is a perfect square"$

$using the law of radicals$ $"using the "color(blue)"law of radicals"$

$∙ x \sqrt{a b} = \sqrt{a} \times \sqrt{b}$ $•color(white)(x)sqrt(ab)=sqrtaxxsqrtb$

$\Rightarrow \sqrt{1440} = \sqrt{144 \times 10}$ $rArrsqrt1440=sqrt(144xx10)$

$\times \times \times x = \sqrt{144} \times \sqrt{10} = 12 \sqrt{10}$ $color(white)(xxxxxxx)=sqrt144xxsqrt10=12sqrt10$

Answer 2 · 2018-03-09T18:42:40

$12 \sqrt{10}$ $12sqrt10$

Explanation:

When you are simplifying radicals, you need to find two numbers. Between those two numbers, one HAS to be a perfect square, or it does not simplify.

Here, we are given:

$\sqrt{1440}$ $sqrt1440$

We can see here that there is an easy and more noticeable factorization:

$\sqrt{144} \cdot \sqrt{10}$ $sqrt144 * sqrt10$

Thankfully, $144$ $144$ is perfect square, so $\sqrt{144}$ $sqrt144$ can be reduced to $12$ $12$ . Since $10$ $10$ does not divide evenly into any prefect squares, $\sqrt{10}$ $sqrt10$ will no simplify.

Therefore, are answer will be:

$12 \sqrt{10}$ $12sqrt10$

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How do you simplify $\sqrt{1, 440}$ $sqrt(1,440)$ ?

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How do you simplify √1,440sqrt(1,440)?

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How do you simplify $\sqrt{1, 440}$ $sqrt(1,440)$ ?