add, subtract, multiply, divide radicals and rational exponents

Front

What is a radical?

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 the expression -11√21 - 11√21?

Back

The expression simplifies to -22√21.

Front

What is the process to add radicals?

Back

To add radicals, combine like terms. For example, 3√2 + 2√2 = 5√2.

Front

How do you simplify 3√8 + 3√2?

Back

This simplifies to 9√2.

Front

What is the rule for multiplying radicals?

Back

To multiply radicals, multiply the numbers inside the roots and then simplify if possible. For example, √a * √b = √(a*b).

Front

How do you divide radicals?

Back

To divide radicals, divide the numbers inside the roots and simplify if possible. For example, √a / √b = √(a/b).

Front

What is a rational exponent?

Back

Tags

CCSS.HSN.RN.A.2

Front

How do you convert a radical to a rational exponent?

Back

Tags

CCSS.HSN.RN.A.2

Front

Back

Front

How do you simplify the expression 3√18 - √32 + 4√72?

Back

This simplifies to 29√2.