Finding nth Roots of Numbers

Front

What is the nth root of a number?

Back

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

Front

What is the nth root of 64 when n=6?

Back

2

Front

What is the nth root of -32 when n=5?

Back

-2

Front

How do you calculate the volume of a sphere?

Back

Volume = (4/3)πr³, where r is the radius.

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Front

What is the formula for finding the radius from the volume of a sphere?

Back

Radius = (3V/(4π))^(1/3), where V is the volume.

Tags

CCSS.8.EE.A.2

Front

What is the value of √[3]{27}?

Back

3

Front

What is the value of √[4]{16}?

Back

2

Front

What is the value of √[5]{32}?

Back

2

Front

What is the relationship between roots and exponents?

Back

The nth root of a number can be expressed as an exponent: √[n]{a} = a^(1/n).

Tags

CCSS.HSN.RN.A.2

Front

What is the significance of even and odd roots for negative numbers?

Back

Even roots of negative numbers are not real, while odd roots of negative numbers are real.