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.

   Esme's square window has an area of 80 square inches, so its side is √80 inches. Esme simplifies √80 fully, so no pair is left inside. What whole number is in front of the root?

   4
4. 4.

   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
5. 5.

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

   7
6. 6.

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

   2
7. 7.

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

   2
8. 8.

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

   5
9. 9.

   Tala's robot screen shows √600. Which is √600 fully simplified?

   • 2√150
   • 10√60
   • 10√6
   • 100√6
10. 10.

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

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