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SHSAT Math · Number System

Exponents & Radicals Practice

Exponent rules, square roots, and radical simplification. This is one of the skills tested on the SHSAT; the 2026 exam is computer-based with 50 Math questions in a 90-minute section. Try the samples below, then practice the full topic with instant feedback and explanations.

Free sample questions

Question 1

What is the value of 324\sqrt{324}?
  • A3636
  • B1818
  • C162162
  • D1919
Show answer and explanation

Answer: B

324\sqrt{324} asks which number times itself is 324324: 18×18=32418 \times 18 = 324, so the answer is 1818.

Question 2

What is the value of 36\sqrt{36}?
  • A77
  • B66
  • C1212
  • D1818
Show answer and explanation

Answer: B

36\sqrt{36} asks which number times itself is 3636: 6×6=366 \times 6 = 36, so the answer is 66.

Question 3

What is the value of 353^{5}?
  • A246246
  • B243243
  • C8181
  • D1515
Show answer and explanation

Answer: B

353^{5} means 3×3×3×3×33 \times 3 \times 3 \times 3 \times 3 =243= 243.

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