12/16 Operations with Radical Expressions

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root, cube root, etc. For example, √x is a radical expression.

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 look for pairs of factors. For example, √18 can be simplified to 3√2.

Front

What is the square root of 25?

Back

The square root of 25 is 5.

Front

What is the value of √(a^2)?

Back

The value of √(a^2) is |a|, which means the absolute value of a.

Front

How do you multiply radical expressions?

Back

To multiply radical expressions, multiply the numbers outside the radicals and the numbers inside the radicals separately. For example, √2 * √3 = √(2*3) = √6.

Front

What is the product of √5 and √5?

Back

The product of √5 and √5 is 5.

Front

How do you divide radical expressions?

Back

To divide radical expressions, divide the numbers outside the radicals and the numbers inside the radicals separately. For example, √8 / √2 = √(8/2) = √4 = 2.

Front

What is the simplified form of √(x^2y)?

Back

The simplified form of √(x^2y) is x√y.

Front

What does it mean to rationalize the denominator?

Back

Rationalizing the denominator means to eliminate any radicals in the denominator of a fraction. For example, to rationalize 1/√2, multiply the numerator and denominator by √2 to get √2/2.

Front

What is the value of √(49)?

Back

The value of √(49) is 7.