nth roots, and simplify, multiply, add and rationalize radicals

Grade 11 Math Worksheet

Circle the best answer.

1. 1.

   Bo simplifies ∜162 for a math club card. Which is ∜162 fully simplified?

   • 2∜3
   • 9∜2
   • 3∜2
   • 81∜2
2. 2.

   Esme's robot simplifies ∛500. Which is ∛500 fully simplified?

   • 10∛5
   • 125∛4
   • 4∛5
   • 5∛4
3. 3.

   Jun's math book shows ∜1250. Which is ∜1250 fully simplified?

   • 625∜2
   • 25∜2
   • 5∜2
   • 2∜5
4. 4.

   Kira multiplies ∛4 × ∛10 on the class board. Which is the product fully simplified?

   • 2∛5
   • ∛14
   • 8∛5
   • 2∛10
5. 5.

   Noah adds ∛16 + ∛54 on a math club card. Which is the sum fully simplified?

   • 5∛2
   • 6∛2
   • 5∛4
   • ∛70
6. 6.

   Pia's robot adds ∜32 + ∜512. Which is the sum fully simplified?

   • ∜544
   • 6∜2
   • 6∜4
   • 8∜2
7. 7.

   Ren's math book shows ∛24 + ∛375. Which is the sum fully simplified?

   • 7∛3
   • 7∛6
   • ∛399
   • 10∛3
8. 8.

   Tala rewrites 10/√5 with no root in the bottom for the class board. Which is 10/√5 with a whole-number bottom?

   • 10√5
   • 2√5
   • 2
9. 9.

   Zee's robot shows 6/∛4 and needs a whole-number bottom. Which is 6/∛4 with a whole-number bottom?

   • 3∛2
   • 3
   • (3∛4)/2
   • 6∛2
10. 10.

    Ari rationalizes 12/∛9 on a math club card. Which is 12/∛9 with a whole-number bottom?

    • 12∛3
    • 4
    • (4∛9)/3
    • 4∛3