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

#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#
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)#

#12sqrt(10)#