161k views
4 votes
Simplify.
Remove all perfect squares from inside the square root.

√(63)

User Erion S
by
8.2k points

1 Answer

5 votes

Answer:


3 √(7)

Explanation:

1) Rewrite 63 as its prime factors.


√(3 * 3 * 7)

2) Group the same prime factors into pairs.


√((3 * 3) * 7)

3) Rewrite each pair in exponent form.


\sqrt{ {3}^(2) * 7 }

3) Use this rule


\sqrt{ {x}^(2) } = x


3 √(7)

User Hsanders
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories