QuestionFind the cube root of $216$ . Provide your answer as a number, e.g., 42.

Studdy Solution

STEP 1

Assumptions1. We are asked to find the cube root of216. The cube root of a number is a value that, when cubed (multiplied by itself twice), gives the original number

STEP 2

The cube root of a number can be found using the cube root function, denoted as $\sqrt[]{x}$ , where $x$ is the number we want to find the cube root of.
$\sqrt[]{216}$

STEP 3

To find the cube root of216, we need to find a number that, when cubed, equals216.This is typically done by trial and error, starting with smaller numbers and working our way up.

STEP 4

We can start by trying smaller numbers. For example, $2^3 =8$ and $3^3 =27$ , which are both less than216.

STEP 5

If we try $4^3 =64$ , it's still less than216.

STEP 6

If we try $5^3 =125$ , it's still less than216.

STEP 7

If we try $6^3 =216$ , we find that it equals216.

STEP 8

Therefore, the cube root of216 is6.
$\sqrt[3]{216} =6$ The cube root of216 is6.

Was this helpful?

QuestionFind the cube root of $216$ . Provide your answer as a number, e.g., 42.

Studdy Solution

STEP 1

Assumptions1. We are asked to find the cube root of216. The cube root of a number is a value that, when cubed (multiplied by itself twice), gives the original number

STEP 2

The cube root of a number can be found using the cube root function, denoted as $\sqrt[]{x}$ , where $x$ is the number we want to find the cube root of.
$\sqrt[]{216}$

STEP 3

To find the cube root of216, we need to find a number that, when cubed, equals216.This is typically done by trial and error, starting with smaller numbers and working our way up.

STEP 4

We can start by trying smaller numbers. For example, $2^3 =8$ and $3^3 =27$ , which are both less than216.

STEP 5

If we try $4^3 =64$ , it's still less than216.

STEP 6

If we try $5^3 =125$ , it's still less than216.

STEP 7

If we try $6^3 =216$ , we find that it equals216.

STEP 8

Therefore, the cube root of216 is6.
$\sqrt[3]{216} =6$ The cube root of216 is6.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the cube root of 216216216. Provide your answer as a number, e.g., 42.

Studdy Solution

STEP 1

Assumptions1. We are asked to find the cube root of216. The cube root of a number is a value that, when cubed (multiplied by itself twice), gives the original number

STEP 2

The cube root of a number can be found using the cube root function, denoted as x\sqrt[]{x}x​, where xxx is the number we want to find the cube root of.216\sqrt[]{216}216​

STEP 3

To find the cube root of216, we need to find a number that, when cubed, equals216.This is typically done by trial and error, starting with smaller numbers and working our way up.

STEP 4

We can start by trying smaller numbers. For example, 23=82^3 =823=8 and 33=273^3 =2733=27, which are both less than216.

STEP 5

If we try 43=644^3 =6443=64, it's still less than216.

STEP 6

If we try 53=1255^3 =12553=125, it's still less than216.

STEP 7

If we try 63=2166^3 =21663=216, we find that it equals216.

STEP 8

Therefore, the cube root of216 is6.2163=6\sqrt[3]{216} =63216​=6The cube root of216 is6.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the cube root of $216$ . Provide your answer as a number, e.g., 42.

The cube root of a number can be found using the cube root function, denoted as $\sqrt[]{x}$ , where $x$ is the number we want to find the cube root of.
$\sqrt[]{216}$

We can start by trying smaller numbers. For example, $2^3 =8$ and $3^3 =27$ , which are both less than216.

If we try $4^3 =64$ , it's still less than216.

If we try $5^3 =125$ , it's still less than216.

If we try $6^3 =216$ , we find that it equals216.

Therefore, the cube root of216 is6.
$\sqrt[3]{216} =6$ The cube root of216 is6.