nth Roots and Rational Exponents

Front

What is an nth root?

Back

Front

What is the value of @@ oot{3}{-125}@@?

Back

Front

What is the principal square root of 400?

Back

Front

What does the symbol @@ oot{n}{a}@@ represent?

Back

It represents the nth root of 'a', which is the number that, when raised to the power of 'n', equals 'a'.

Front

What is the relationship between rational exponents and roots?

Back

Rational exponents can be expressed as roots. For example, @@a^{rac{1}{n}} = oot{n}{a}@@.

Front

What is the value of @@ oot{2}{400}@@?

Back

Front

How do you express the cube root of a number using exponents?

Back

Front

What is the value of @@ oot{6}{64}@@?

Back

Front

What is the general formula for finding the nth root of a number?

Back

The nth root of a number 'a' is given by @@ oot{n}{a} = a^{rac{1}{n}}@@.

Front

What is the significance of the principal root?

Back

The principal root is the non-negative root of a number, typically used when referring to even roots.