Question #d814d

1 Answer
JJ
Aug 6, 2017

#6sqrt(5)#

Explanation:

When you simplify an expression, you look for the common factor between all parts. In this case, #sqrt(5)# is the common factor between within all these parts of the expression. Let's factor that out.

#sqrt(5)+sqrt(20)+sqrt(45) -> sqrt(5)(1+sqrt(4)+sqrt(9))#

Remember that when you factor out a term, you divide everything by that factor. Also remember the rules for dividing square roots as shown in the following.

#sqrt(a)/sqrt(b)=sqrt(a/b)#

Next, simplify the square roots.

#sqrt(5)(1+sqrt(4)+sqrt(9)) ->sqrt(5)(1+2+3)#

Finally, add like terms. That's your final answer.

#sqrt(5)(1+2+3) -> sqrt(5)(6) -> 6sqrt(5)#

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