Dividing Radicals

Front

What is a radical in mathematics?

Back

A radical is an expression that includes a root, such as a square root or cube root.

Tags

CCSS.8.NS.A.1

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor out perfect squares (or cubes) from under the radical sign.

Front

What does it mean to divide radicals?

Back

Dividing radicals involves simplifying the expression by dividing the coefficients and the radicands separately.

Front

What is the process of rationalizing the denominator?

Back

Rationalizing the denominator involves multiplying the numerator and denominator by a suitable radical to eliminate the radical from the denominator.

Front

What is the square root of 16?

Back

The square root of 16 is 4.

Tags

CCSS.8.EE.A.2

Front

How do you multiply two radical expressions?

Back

To multiply two radical expressions, multiply the coefficients and the radicands separately, then simplify if possible.

Front

What is the result of (√a)/(√b)?

Back

The result of (√a)/(√b) can be simplified to √(a/b).

Front

What is the value of √(x^2)?

Back

The value of √(x^2) is |x|, the absolute value of x.

Tags

CCSS.8.EE.A.2

Front

How do you add radical expressions?

Back

To add radical expressions, combine like terms, which means adding the coefficients of the same radical.

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.