How do you find the simplest radical form of 32?

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Apr 21, 2015

To find simplest radical form, simply factor the square root until you get a number that can be square rooted. Once you've factored it enough so that you cannot, it is in the simplest radical form.

In this case, #sqrt32# can be split into #sqrt16# and #sqrt2#.
#sqrt16# can be square rooted into #4#. You cannot factor 2 into any other square rootable numbers other than 1 which will equal the same thing.

Final answer would be: #4sqrt2#

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Veddesh Share
Apr 7, 2017

Answer:

#4sqrt2#

Explanation:

#color(blue)(sqrt32#

We need to get it into its simplest form. So, split it into prime factors

#rarrsqrt(2*2*2*2*2)#

#rarrsqrt(underbrace(2*2)*underbrace(2*2)*2)#

#rarr2*2sqrt2#

#color(green)(rArr4sqrt2#

Hope this helps!... :)

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