Grade 8hard

Simplifying Radicals Practice

Practice simplifying radical expressions by factoring out perfect squares. √(a²b) = a√b.

All 20 Practice Problems

Every question in this set. Solve them on paper, or use the interactive tool above for instant feedback and hints.

1.√8 = ?√2
2.√12 = ?√3
3.√18 = ?√2
4.√20 = ?√5
5.√27 = ?√3
6.√32 = ?√2
7.√45 = ?√5
8.√48 = ?√3
9.√50 = ?√2
10.√72 = ?√2
11.√75 = ?√3
12.√80 = ?√5
13.√98 = ?√2
14.√108 = ?√3
15.√125 = ?√5
16.√128 = ?√2
17.√147 = ?√3
18.√180 = ?√5
19.√200 = ?√2
20.√243 = ?√3

Show answer key

1.√8 = ?√2 Answer: 2
2.√12 = ?√3 Answer: 2
3.√18 = ?√2 Answer: 3
4.√20 = ?√5 Answer: 2
5.√27 = ?√3 Answer: 3
6.√32 = ?√2 Answer: 4
7.√45 = ?√5 Answer: 3
8.√48 = ?√3 Answer: 4
9.√50 = ?√2 Answer: 5
10.√72 = ?√2 Answer: 6
11.√75 = ?√3 Answer: 5
12.√80 = ?√5 Answer: 4
13.√98 = ?√2 Answer: 7
14.√108 = ?√3 Answer: 6
15.√125 = ?√5 Answer: 5
16.√128 = ?√2 Answer: 8
17.√147 = ?√3 Answer: 7
18.√180 = ?√5 Answer: 6
19.√200 = ?√2 Answer: 10
20.√243 = ?√3 Answer: 9

About This Practice

This practice set includes 20 radical simplification problems. Simplifying radicals is essential for geometry, the Pythagorean theorem, and higher algebra.

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