# What is the squared root of 1440?

Nov 5, 2015

37.95

Nov 5, 2015

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

#### Explanation:

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!

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

$1440 = 12 \times 12 \times 10$

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

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

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

Now we have something we can deal with:

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

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

$12 \sqrt{10}$