Radical Expressions

Math ⇒ Algebra

Radical Expressions starts at 9 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Radical Expressions. 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 11

Explain why √2 is considered an irrational number.

Express √18 in simplest radical form.

Express 2√3 + 5√3 in simplest form.

If √x = 7, what is the value of x?

If x = 9, what is the value of √x + 2√4?

Rationalize and simplify: 5/(2√3).

If √x = 7, what is the value of x?

If x = 9, what is the value of √x + 2√4?

Which of the following is a rational number? (1) √2 (2) 2√3 (3) √16 (4) √5

Which of the following is equal to x^1/2? (1) x (2) √x (3) x² (4) 2x

Which of the following is equivalent to (√3)²? (1) 3 (2) 6 (3) 9 (4) √9

Which of the following is NOT a radical expression? (1) √7 (2) 2x (3) 3√x (4) √(x+1)

Fill in the blank: The cube root of 27 is _______.

Fill in the blank: The expression √16x² simplifies to _______ for x ≥ 0.

Fill in the blank: The expression (√3 + 2)² expands to _______.

Fill in the blank: The nth root of a number a is written as _______.

True or False: √(-9) is a real number.

True or False: √(a·b) = √a · √b for all real numbers a and b.

True or False: √ab = √a · √b only if a ≥ 0 and b ≥ 0.

True or False: (√a)² = a for all real numbers a.