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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 x = √(y), and y = 81, what is the value of x?
Which of the following is equal to (27)^(1/3)? (1) 3 (2) 9 (3) 6 (4) 1
Which of the following is NOT a perfect square? (1) 144 (2) 225 (3) 169 (4) 200
Which of the following is the simplified form of √(50)? (1) 5√2 (2) 25 (3) 2√5 (4) 10
Which of the following is the value of (16)^(3/4)? (1) 8 (2) 16 (3) 32 (4) 8√2
Fill in the blank: The cube root of 1 is _______.
Fill in the blank: The square root of 2 is approximately _______.
Fill in the blank: The square root of 81 is _______.
The cube root of 343 is _______.
True or False: The cube root of a negative number is a real number.
True or False: The square root of 0 is 0.
True or False: The square root of a negative number is always a real number.
True or False: The square root of a rational number is always rational.