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

Grade 11 Math Worksheet

Circle the best answer.

1. 1.

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

   • 125∛4
   • 10∛5
   • 4∛5
   • 5∛4
2. 2.

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

   • 2∛5
   • ∛14
   • 8∛5
   • 2∛10
3. 3.

   Luz multiplies ∜8 × ∜6 on a math club card. Which is the product fully simplified?

   • 2∜3
   • 16∜3
   • ∜14
   • 4∜3
4. 4.

   Milo cuts a card ∛9 inches wide and ∛6 inches tall, so its area is ∛9 × ∛6 square inches. Which is that area fully simplified?

   • 3∛6
   • 3∛2
   • ∛15
   • 27∛2
5. 5.

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

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

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

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

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

   • 10∛3
   • ∛399
   • 7∛6
   • 7∛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?

   • 2√5
   • 2
   • 10√5
9. 9.

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

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

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

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