Operations with Radicals

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛). It represents the operation of finding a number that, when multiplied by itself a certain number of times, gives the original number.

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors, and then pair the factors. Each pair can be taken out of the radical as a single number.

Front

What is the square root of 48?

Back

Front

How do you combine like radicals?

Back

Front

What is the product of two radicals?

Back

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as a fraction of two integers, while irrational numbers cannot be expressed as a simple fraction and have non-repeating, non-terminating decimal expansions.

Front

What is the principle of square roots?

Back

Front

How do you rationalize the denominator?

Back

To rationalize the denominator, multiply the numerator and denominator by a suitable radical that will eliminate the radical in the denominator.

Front

What is the square root of a variable raised to an exponent?

Back

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