# What is the simplest radical form of #sqrt160#?

##### 2 Answers

Aug 5, 2016

#### Explanation:

Write 160 as the product of its prime factors, then we know what we are dealing with.

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Aug 5, 2016

**Radicals** can be split by multiplication. It helps to be able to find perfect squares underneath the radicals during the factorization, and

If it helps, try going in steps of factoring out

#sqrt(160)#

#sqrt(2*80)#

#sqrt(2*2*40)#

#sqrt(2*2*2*20)#

#sqrt(2*2*2*2*10)#

#= sqrt(16*10)#

#= sqrt(16)*sqrt(10)#

Since