nth Roots

Front

What is an nth root?

Back

The nth root of a number x is a value r such that r^n = x. It is denoted as √[n]{x}.

Front

How do you denote the cube root of a number?

Back

The cube root of a number x is denoted as ∛x.

Tags

CCSS.8.EE.A.2

Front

When taking the square root of a number, how many of a kind do you group together?

Back

2

Front

What is the relationship between exponents and roots?

Back

Roots can be expressed as fractional exponents. For example, the nth root of x is x^(1/n).

Tags

CCSS.HSN.RN.A.2

Front

What is the cube root of 27?

Back

3, because 3^3 = 27.

Tags

CCSS.8.EE.A.2

Front

What is the square root of 16?

Back

4, because 4^2 = 16.

Tags

CCSS.8.EE.A.2

Front

If x = 64, what is the 6th root of x?

Back

2, because 2^6 = 64.

Front

What is the value of (-8)^(1/3)?

Back

-2, because (-2)^3 = -8.

Front

How do you simplify √(a^2)?

Back

√(a^2) = |a|, the absolute value of a.

Front

What is the fourth root of 81?

Back

3, because 3^4 = 81.