Simplifying Nth Roots

Front

What is an Nth root?

Back

The Nth root of a number x is a number r such that r^n = x, where n is a positive integer.

Front

How do you simplify the square root of a product?

Back

The square root of a product can be simplified using the property: √(a*b) = √a * √b.

Front

What is the relationship between exponents and roots?

Back

The Nth root of a number can be expressed as an exponent: r = x^(1/n).

Tags

CCSS.HSN.RN.A.2

Front

How do you simplify the cube root of a quotient?

Back

The cube root of a quotient can be simplified using the property: ∛(a/b) = ∛a / ∛b.

Front

What is the Nth root of a power?

Back

The Nth root of a power can be simplified using the property: ∛(a^m) = a^(m/n).

Front

How do you express a radical in exponential form?

Back

A radical can be expressed in exponential form: √x = x^(1/2), ∛x = x^(1/3), etc.

Tags

CCSS.HSN.RN.A.2

Front

What is the first step in simplifying radical expressions?

Back

The first step is to factor the expression under the radical into perfect squares (or cubes, etc.) and non-perfect squares.

Front

How do you simplify √(50)?

Back

√(50) = √(25*2) = √25 * √2 = 5√2.

Front

What is the simplified form of ∛(64)?

Back

∛(64) = 4, since 4^3 = 64.

Tags

CCSS.8.EE.A.2

Front

How do you combine like radicals?

Back

Like radicals can be combined by adding or subtracting their coefficients: a√b + c√b = (a+c)√b.