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.

   Ari's square rug covers 72 square feet (room for one very sleepy cat). Its side is √72 feet. Pull one number out of each pair: √72 = ?√2. What number goes in front of √2?

   6
2. 2.

   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
3. 3.

   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
4. 4.

   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
5. 5.

   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
6. 6.

   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
7. 7.

   Milo's big cube-shaped block holds 648 cubic centimeters, so each edge is ∛648 cm. Pull one number out of each triple: ∛648 = ?∛3. What number goes in front of ∛3?

   6
8. 8.

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

   • 6√18
   • 6√3
   • 2√27
   • 36√3
9. 9.

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

   • 4√7
   • 16√7
   • 4√28
   • 2√28
10. 10.

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

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