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?

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

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

   • 2∜5
   • 625∜2
   • 25∜2
   • 5∜2
3. 3.

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

   • 2∛10
   • 2∛5
   • ∛14
   • 8∛5
4. 4.

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

   • ∜14
   • 16∜3
   • 2∜3
   • 4∜3
5. 5.

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

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

   • 6∛2
   • ∛70
   • 5∛2
   • 5∛4
7. 7.

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

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

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

   • ∛399
   • 7∛6
   • 10∛3
   • 7∛3
9. 9.

   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
   • 10√5
   • 2
10. 10.

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

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