What is the squared root of 1440?

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Answer 1 · 2015-11-05T15:40:27

Nov 5, 2015

37.95

Answer 2 · 2015-11-05T17:42:19

$12 \sqrt{10}$ $12sqrt(10)$
Look at the method used!

Given: 1440

We need to look for portioning of this number such that we may easily spot things we can take the square root of. So lets play with it a bit!

$144 = 12 \times 12$ $144 = 12 times 12$
But we need 1440 so multiply by 10 giving

$1440 = 12 \times 12 \times 10$ $1440 = 12 times 12 times 10$

$10$ $10$ does not have any factors we can take the root of so lets look at the others.

We can factor 12 into $3 \times 4$ $3 times 4$ which we can use:

$1440 = 3 \times 4 \times 3 \times 4 \times 10$ $1440 = 3 times 4 times 3 times 4 times 10$

Now we have something we can deal with:

$\sqrt{3^{2} \times 4^{2} \times 10}$ $sqrt( 3^2 times 4^2 times 10)$

$3 \times 4 \times \sqrt{10}$ $3 times 4 times sqrt(10)$

$12 \sqrt{10}$ $12sqrt(10)$