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Roots and Radicals Quiz

Roots and Radicals: ten questions on roots and equivalent expressions. Includes calculations; answers explained.

Free, with no sign-up.

ByLelfy Editorial Team

For High school students and adults reviewing the topic.

About 11 minutes. 10 questions.

How does it work?

  1. Choose one answer or enter a number in the stated unit, then check it.
  2. Read the explanation before continuing.
  3. Round only the final answer to the precision requested.

What will you get?

See your score and review the reasoning behind each answer.

Question 1A square has area 169 m². Find its side length in m, rounded to two decimals.

Answers within 0.005 m of the expected value are accepted.

Question 2A cube has volume 343 cm³. Find its edge length in cm, rounded to two decimals.

Answers within 0.005 cm of the expected value are accepted.

Question 3Evaluate 125^(2/3) as a number with no unit, rounded to two decimals.

Answers within 0.005 of the expected value are accepted.

Question 4A square display has area 98 m². Find its side length in m, rounded to two decimals.

Answers within 0.005 m of the expected value are accepted.

Question 5Evaluate the real cube root of −216 as a number with no unit, rounded to two decimals.

Answers within 0.005 of the expected value are accepted.

Question 6A scaled cube has 64 times the original volume. Find the length scale factor as a number with no unit, rounded to two decimals.

Answers within 0.005 of the expected value are accepted.

Question 7Which expression equals √50?
Question 8Which expression equals 4/√7 after rationalizing the denominator?
Question 9Which expression is the sum √20 + √45?
Question 10A calculation contains √(36 + 64). Which expression has the same value?

Answer every question to see and share your score.

Read the topic guide