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 10

Explain the process of rationalizing the denominator of a fraction with a single square root in the denominator.

Express √45 + √20 in simplest form.

Express √75 in simplest radical form.

If √x = 7, what is the value of x?

Rationalize the denominator: 1 / (2 + √3).

Rationalize the denominator: 4 / (√5 - 2).

Rationalize the denominator: 5 / √2.

Simplify: √18 - √8.

Simplify: √27x⁴.

Simplify: √50.

Simplify: √72 + √18.

Simplify: √8x².

Simplify: (√2 + 1)².

Simplify: (√3 + √5)(√3 - √5).

Simplify: (√3)(√12).

Simplify: (√5 + √2)².

Simplify: (√7 - √2)(√7 + √2).

Simplify: (2√3)(3√12).

Simplify: 3√5 + 2√5.

Given the expression √(x² + 6x + 9), where x is a real number, express it in simplest form.