Nth Roots Review

Front

What is the definition of 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 express a number in radical form?

Back

To express a number in radical form, use the notation @@ oot{n}{x}@@, where n is the degree of the root and x is the number.

Front

What is the relationship between exponents and roots?

Back

The nth root of a number can be expressed as a fractional exponent: @@ oot{n}{x} = x^{1/n}@@.

Tags

CCSS.HSN.RN.A.2

Front

How do you simplify @@ oot{3}{27}@@?

Back

@@ oot{3}{27} = 3@@ because 3^3 = 27.

Front

Back

Tags

CCSS.8.EE.A.2

Front

How do you convert @@ oot{4}{16}@@ to exponential form?

Back

@@ oot{4}{16} = 16^{1/4}@@.

Front

What is the simplified form of @@ oot{2}{50}@@?

Back

@@ oot{2}{50} = 5 oot{2}{2}@@.

Front

What does it mean to simplify an expression completely?

Back

To simplify an expression completely means to reduce it to its simplest form, removing any radicals or fractions if possible.

Front

How do you express @@ oot{5}{x^5}@@ in simplified form?

Back

@@ oot{5}{x^5} = x@@.

Front

What is the value of @@ oot{2}{64}@@?

Back

@@ oot{2}{64} = 8@@ because 8^2 = 64.

Tags

CCSS.8.EE.A.2