Simplify a square root or cube root

Answer Key - Grade 9 Math Worksheet

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

1. 1.

   Ari's square play mat covers 180 square inches, so its side is √180 inches. Ari simplifies √180 fully, so no pair is left inside. What whole number is in front of the root?

   6
2. 2.

   Bo's puzzle card shows √243. Bo simplifies √243 fully, so no pair is left inside. What whole number is in front of the root?

   9
3. 3.

   Jun's square quilt patch covers 175 square centimeters (one patch, many opinions). Jun simplifies √175 fully, so no pair is left inside. What whole number is in front of the root?

   5
4. 4.

   In math club, Kira simplifies √252 fully, so no pair is left inside the root. What whole number is left inside the root?

   7
5. 5.

   Luz's robot simplifies √288 fully, so no pair is left inside the root. What whole number is left inside the root?

   2
6. 6.

   Milo simplifies √450 fully on a worksheet (in pencil, just in case). What whole number is left inside the root?

   2
7. 7.

   Noah's padlock code is the number left inside √500 once it is fully simplified. What whole number is left inside the root?

   5
8. 8.

   Pia's math book has √360 in a puzzle. Which is √360 fully simplified?

   • 6√10
   • 2√90
   • 6√60
   • 36√10
9. 9.

   Ren finds √392 on a puzzle card (the puzzle is shaped like a square, of course). Which is √392 fully simplified?

   • 14√2
   • 196√2
   • 2√98
   • 14√28
10. 10.

    In math club, Zee simplifies √720 on the board. Which is √720 fully simplified?

    • 12√60
    • 144√5
    • 2√180
    • 12√5