Simplify a square root or cube root

Answer Key - Grade 9 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Bo's square window for a dollhouse has an area of 48 square inches. Its side is √48 inches. Pull one number out of each pair: √48 = ?√3. What number goes in front of √3?

   4
2. 2.

   Esme's square doll quilt covers 200 square inches. Its side is √200 inches. Pull one number out of each pair: √200 = ?√2. What number goes in front of √2?

   10
3. 3.

   Jun's square sticky note covers 32 square centimeters. Its side is √32 cm. Pull one number out of each pair: √32 = ?√2. What number goes in front of √2?

   4
4. 4.

   Kira's cube-shaped gift box holds 128 cubic inches, so each edge is ∛128 inches. Pull one number out of each triple: ∛128 = ?∛2. What number goes in front of ∛2?

   4
5. 5.

   Luz's cube-shaped box of buttons holds 192 cubic centimeters (the buttons have no complaints). Pull one number out of each triple: ∛192 = ?∛3. What number goes in front of ∛3?

   4
6. 6.

   Noah's cube-shaped craft box holds 320 cubic inches, so each edge is ∛320 inches. Pull one number out of each triple: ∛320 = ?∛5. What number goes in front of ∛5?

   4
7. 7.

   Pia's robot screen shows √108 and asks for every pair to be pulled out. Which is √108 with every pair pulled out?

   • 6√3
   • 6√18
   • 36√3
   • 2√27
8. 8.

   Ren's puzzle card shows √112 (the card insists it is not a trick). Which is √112 with every pair pulled out?

   • 4√28
   • 4√7
   • 16√7
   • 2√28
9. 9.

   In math club, Tala meets √162 on the board. Which is √162 with every pair pulled out?

   • 9√2
   • 81√2
   • 3√18
   • 9√18
10. 10.

    The code on Zee's padlock tag is hidden in √300. Which is √300 with every pair pulled out?

    • 2√75
    • 10√30
    • 10√3
    • 100√3