Radical Operations Worksheets

Browse free printable radical operations worksheets designed to support practice and review.

Dividing radicals with variables worksheet with 16 problems in two columns, asking students to divide square roots such as 𝑥 4 ÷ 𝑥 2 x 4 ​ ÷ x 2 ​ , 16 𝑥 2 ÷ 4 𝑥 16x 2 ​ ÷ 4x ​ , 72 𝑥 2 ÷ 8 𝑥 72x 2 ​ ÷ 8x ​ , 48 𝑥 3 ÷ 3 𝑥 48x 3 ​ ÷ 3x ​ , and 200 𝑥 6 ÷ 8 𝑥 2 200x 6 ​ ÷ 8x 2 ​ , then simplify to simplest radical form (variables are positive real numbers).

Dividing Radicals with Variables Worksheet

7th Grade8th Grade

Radical OperationsPre-AlgebraSquare Roots and Radicals

Multiplying radicals with variables worksheet with 16 problems in two columns, asking students to multiply square roots such as 𝑥 ⋅ 𝑥 x ​ ⋅ x ​ , 5 𝑥 ⋅ 20 𝑥 5x ​ ⋅ 20x ​ , 6 𝑥 ⋅ 24 𝑥 6x ​ ⋅ 24x ​ , 7 𝑥 ⋅ 28 𝑥 3 7x ​ ⋅ 28x 3 ​ , and 𝑥 5 ⋅ 𝑥 x 5 ​ ⋅ x ​ , then simplify to simplest radical form (variables are positive real numbers).

Multiplying Radicals with Variables Worksheet

7th Grade8th Grade

Radical OperationsPre-AlgebraSquare Roots and Radicals