191k views
4 votes
Find the indicated real nth roots of a for n=3 ,a=8

2 Answers

3 votes

The cube root of 8 is 2, because when 2 is raised to the power of 3, it equals 8. This is a basic arithmetic operation involving exponents and roots.

Finding the Real Nth Roots of a Number

Real nth roots of a number are the values that when raised to the n-th power, give the original number.

For your specific question, you are asked to find the cube root of 8, which is the number that when raised to the power of 3, gives 8.

Here's how to calculate it step by step:

Understand what the question is asking.

In this case, it's to find the cube root (n=3) of 8 (a=8).

Remember that the cube root of a number a is the number x such that x3 = a.

Since the cube root of 8 is a well-known value, recognize that 23 = 8.

Conclude that the cube root of 8 is 2.

In this case, the cube root of 8 is simply 2, because 23 (2 times 2 times 2) equals 8.

User Joseph Artsimovich
by
7.8k points
1 vote

Answer:

8^ (1/3) =2

Explanation:

We want to find cube root of 8

8^ (1/3)

What number times itself 3 times is 8

2*2*2 =8

8^ (1/3) =2

User Gene Goykhman
by
7.9k points