Square Roots and Cube Roots

Math ⇒ Number and Operations

Square Roots and Cube Roots starts at 7 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Square Roots and Cube Roots. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 12

Explain the difference between the principal square root and the negative square root of a positive real number.

Explain the process to rationalize the denominator of 1/√5.

Explain why the cube root of -8 is a real number, but the square root of -8 is not.

Express 125 as a cube of an integer.

Find the cube root of 0.008.

Find the value of √(49/81).

If √(x) = 2√3, what is the value of x?

If √a = 3 and √b = 4, what is the value of √(ab)?

If √x = 5, what is the value of x?

If a number is both a perfect square and a perfect cube, what is the least such positive integer greater than 1?

If the square root of a number is irrational, what can you say about the number?

If x = √(y), and y = 81, what is the value of x?

If x = -27, what is the value of x^(1/3)?

If x² = 121, what are the possible values of x?

If x³ = 1000, what is the value of x?

Simplify: √(2) × √(8)

What is the principal square root of 196?