QuestionSimplify: $\sqrt{125}=$

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the square root of125. . We are assuming that the square root is the principal square root, which is the positive square root.

STEP 2

The number125 can be factored into prime numbers. Let's do that.
$125 =5 \times5 \times5$

STEP 3

We can rewrite the square root of125 as the square root of the product of these prime numbers.
$\sqrt{125} = \sqrt{5 \times5 \times5}$

STEP 4

We can separate this into two square roots one for the pair of's, and one for the single.
$\sqrt{125} = \sqrt{ \times} \times \sqrt{}$

STEP 5

The square root of5 times5 is just5, so we can simplify this further.
$\sqrt{125} =5 \times \sqrt{5}$ So, the simplified form of $\sqrt{125}$ is $5\sqrt{5}$ .

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QuestionSimplify: $\sqrt{125}=$

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the square root of125. . We are assuming that the square root is the principal square root, which is the positive square root.

STEP 2

The number125 can be factored into prime numbers. Let's do that.
$125 =5 \times5 \times5$

STEP 3

We can rewrite the square root of125 as the square root of the product of these prime numbers.
$\sqrt{125} = \sqrt{5 \times5 \times5}$

STEP 4

We can separate this into two square roots one for the pair of's, and one for the single.
$\sqrt{125} = \sqrt{ \times} \times \sqrt{}$

STEP 5

The square root of5 times5 is just5, so we can simplify this further.
$\sqrt{125} =5 \times \sqrt{5}$ So, the simplified form of $\sqrt{125}$ is $5\sqrt{5}$ .

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QuestionSimplify: 125=\sqrt{125}=125​=

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the square root of125. . We are assuming that the square root is the principal square root, which is the positive square root.

STEP 2

The number125 can be factored into prime numbers. Let's do that.125=5×5×5125 =5 \times5 \times5125=5×5×5

STEP 3

We can rewrite the square root of125 as the square root of the product of these prime numbers.125=5×5×5\sqrt{125} = \sqrt{5 \times5 \times5}125​=5×5×5​

STEP 4

We can separate this into two square roots one for the pair of's, and one for the single.125=××\sqrt{125} = \sqrt{ \times} \times \sqrt{}125​=×​×​

STEP 5

The square root of5 times5 is just5, so we can simplify this further.125=5×5\sqrt{125} =5 \times \sqrt{5}125​=5×5​So, the simplified form of 125\sqrt{125}125​ is 555\sqrt{5}55​.

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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.

QuestionSimplify: $\sqrt{125}=$

The number125 can be factored into prime numbers. Let's do that.
$125 =5 \times5 \times5$

We can rewrite the square root of125 as the square root of the product of these prime numbers.
$\sqrt{125} = \sqrt{5 \times5 \times5}$

We can separate this into two square roots one for the pair of's, and one for the single.
$\sqrt{125} = \sqrt{ \times} \times \sqrt{}$

The square root of5 times5 is just5, so we can simplify this further.
$\sqrt{125} =5 \times \sqrt{5}$ So, the simplified form of $\sqrt{125}$ is $5\sqrt{5}$ .