Math / Numbers & Operations

Question $\begin{array}{l}\sqrt[3]{1}= \\ \sqrt[3]{729}= \\ \sqrt[3]{1331}= \\ \sqrt[3]{216}=\end{array}$

Studdy Solution

STEP 1

1. We are given a set of cube root expressions to evaluate.
2. We need to find the cube root of each number provided.

STEP 2

1. Evaluate $\sqrt[3]{1}$ .
2. Evaluate $\sqrt[3]{729}$ .
3. Evaluate $\sqrt[3]{1331}$ .
4. Evaluate $\sqrt[3]{216}$ .

STEP 3

Evaluate $\sqrt[3]{1}$ .
The cube root of $1$ is the number that, when multiplied by itself three times, equals $1$ .
$\sqrt[3]{1} = 1$

STEP 4

Evaluate $\sqrt[3]{729}$ .
The cube root of $729$ is the number that, when multiplied by itself three times, equals $729$ .
Since $9 \times 9 \times 9 = 729$ , we have:
$\sqrt[3]{729} = 9$

STEP 5

Evaluate $\sqrt[3]{1331}$ .
The cube root of $1331$ is the number that, when multiplied by itself three times, equals $1331$ .
Since $11 \times 11 \times 11 = 1331$ , we have:
$\sqrt[3]{1331} = 11$

STEP 6

Evaluate $\sqrt[3]{216}$ .
The cube root of $216$ is the number that, when multiplied by itself three times, equals $216$ .
Since $6 \times 6 \times 6 = 216$ , we have:
$\sqrt[3]{216} = 6$
The solutions to the cube root expressions are:
$\begin{array}{l} \sqrt[3]{1} = 1 \\ \sqrt[3]{729} = 9 \\ \sqrt[3]{1331} = 11 \\ \sqrt[3]{216} = 6 \\ \end{array}$

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Question $\begin{array}{l}\sqrt[3]{1}= \\ \sqrt[3]{729}= \\ \sqrt[3]{1331}= \\ \sqrt[3]{216}=\end{array}$

Studdy Solution

STEP 1

1. We are given a set of cube root expressions to evaluate.
2. We need to find the cube root of each number provided.

STEP 2

1. Evaluate $\sqrt[3]{1}$ .
2. Evaluate $\sqrt[3]{729}$ .
3. Evaluate $\sqrt[3]{1331}$ .
4. Evaluate $\sqrt[3]{216}$ .

STEP 3

Evaluate $\sqrt[3]{1}$ .
The cube root of $1$ is the number that, when multiplied by itself three times, equals $1$ .
$\sqrt[3]{1} = 1$

STEP 4

Evaluate $\sqrt[3]{729}$ .
The cube root of $729$ is the number that, when multiplied by itself three times, equals $729$ .
Since $9 \times 9 \times 9 = 729$ , we have:
$\sqrt[3]{729} = 9$

STEP 5

Evaluate $\sqrt[3]{1331}$ .
The cube root of $1331$ is the number that, when multiplied by itself three times, equals $1331$ .
Since $11 \times 11 \times 11 = 1331$ , we have:
$\sqrt[3]{1331} = 11$

STEP 6

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Question13=7293=13313=2163=\begin{array}{l}\sqrt[3]{1}= \\ \sqrt[3]{729}= \\ \sqrt[3]{1331}= \\ \sqrt[3]{216}=\end{array}31​=3729​=31331​=3216​=​

Studdy Solution

STEP 1

1. We are given a set of cube root expressions to evaluate.2. We need to find the cube root of each number provided.

STEP 2

1. Evaluate 13\sqrt[3]{1}31​.2. Evaluate 7293\sqrt[3]{729}3729​.3. Evaluate 13313\sqrt[3]{1331}31331​.4. Evaluate 2163\sqrt[3]{216}3216​.

STEP 3

Evaluate 13\sqrt[3]{1}31​.The cube root of 111 is the number that, when multiplied by itself three times, equals 111. 13=1\sqrt[3]{1} = 131​=1

STEP 4

Evaluate 7293\sqrt[3]{729}3729​.The cube root of 729729729 is the number that, when multiplied by itself three times, equals 729729729. Since 9×9×9=7299 \times 9 \times 9 = 7299×9×9=729, we have:7293=9\sqrt[3]{729} = 93729​=9

STEP 5

Evaluate 13313\sqrt[3]{1331}31331​.The cube root of 133113311331 is the number that, when multiplied by itself three times, equals 133113311331. Since 11×11×11=133111 \times 11 \times 11 = 133111×11×11=1331, we have:13313=11\sqrt[3]{1331} = 1131331​=11

STEP 6

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Start learning now

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

Question $\begin{array}{l}\sqrt[3]{1}= \\ \sqrt[3]{729}= \\ \sqrt[3]{1331}= \\ \sqrt[3]{216}=\end{array}$

1. We are given a set of cube root expressions to evaluate.
2. We need to find the cube root of each number provided.

1. Evaluate $\sqrt[3]{1}$ .
2. Evaluate $\sqrt[3]{729}$ .
3. Evaluate $\sqrt[3]{1331}$ .
4. Evaluate $\sqrt[3]{216}$ .

Evaluate $\sqrt[3]{1}$ .
The cube root of $1$ is the number that, when multiplied by itself three times, equals $1$ .
$\sqrt[3]{1} = 1$

Evaluate $\sqrt[3]{729}$ .
The cube root of $729$ is the number that, when multiplied by itself three times, equals $729$ .
Since $9 \times 9 \times 9 = 729$ , we have:
$\sqrt[3]{729} = 9$

Evaluate $\sqrt[3]{1331}$ .
The cube root of $1331$ is the number that, when multiplied by itself three times, equals $1331$ .
Since $11 \times 11 \times 11 = 1331$ , we have:
$\sqrt[3]{1331} = 11$