What is the square root of 24?

2 Answers
Mar 24, 2018

Answer:

#2sqrt(6)#

Explanation:

Given: #sqrt(24)#

We split it into the following:

#=sqrt(4*6)#

Now, we use the radical rule which states that, #sqrt(ab)=sqrt(a)*sqrt(b),a,b>0#.

So, we get,

#=sqrt(4)*sqrt(6)#

#=2sqrt(6)#

Mar 24, 2018

Answer:

#sqrt(24)=2sqrt(6)#

Explanation:

We should try to reduce #sqrt(24)# to the root of a number with a perfect square multiplied by some other whole number.

Let's consider the factors of #24:#

#1, 4, 6, 8, 12, 24#

Out of these, #4# is the largest (and coincidentally, only) perfect square present.

#4*6=24,# so we can rewrite as

#sqrt(24)=sqrt(4*6)=sqrt(4)*sqrt(6)# as #sqrt(ab)=sqrt(a)*sqrt(b)#

Simplify:

#sqrt(4)*sqrt(6)=2sqrt(6)#