QuestionSimplify $\sqrt{18}$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the square root of18. We are working in the real number system

STEP 2

To simplify the square root of a number, we need to find the prime factorization of the number under the root. $\sqrt{18} = \sqrt{2 \times^2}$

STEP 3

We can simplify the square root by taking the square root of any perfect square numbers. In this case, $3^2$ is a perfect square.
$\sqrt{18} = \sqrt{2 \times3^2} = \sqrt{2} \times \sqrt{3^2}$

STEP 4

Now, simplify the square root of the perfect square number.
$\sqrt{18} = \sqrt{2} \times \sqrt{3^2} = \sqrt{2} \times3$

STEP 5

The final simplified form of $\sqrt{18}$ is $3\sqrt{2}$ .
So, $\sqrt{18} =3\sqrt{2}$ .

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QuestionSimplify $\sqrt{18}$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the square root of18. We are working in the real number system

STEP 2

To simplify the square root of a number, we need to find the prime factorization of the number under the root. $\sqrt{18} = \sqrt{2 \times^2}$

STEP 3

We can simplify the square root by taking the square root of any perfect square numbers. In this case, $3^2$ is a perfect square.
$\sqrt{18} = \sqrt{2 \times3^2} = \sqrt{2} \times \sqrt{3^2}$

STEP 4

Now, simplify the square root of the perfect square number.
$\sqrt{18} = \sqrt{2} \times \sqrt{3^2} = \sqrt{2} \times3$

STEP 5

The final simplified form of $\sqrt{18}$ is $3\sqrt{2}$ .
So, $\sqrt{18} =3\sqrt{2}$ .

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QuestionSimplify 18\sqrt{18}18​.

Studdy Solution

STEP 1

Assumptions1. We are asked to simplify the square root of18. We are working in the real number system

STEP 2

To simplify the square root of a number, we need to find the prime factorization of the number under the root.18=2×2\sqrt{18} = \sqrt{2 \times^2}18​=2×2​

STEP 3

We can simplify the square root by taking the square root of any perfect square numbers. In this case, 323^232 is a perfect square.18=2×32=2×32\sqrt{18} = \sqrt{2 \times3^2} = \sqrt{2} \times \sqrt{3^2}18​=2×32​=2​×32​

STEP 4

Now, simplify the square root of the perfect square number.18=2×32=2×3\sqrt{18} = \sqrt{2} \times \sqrt{3^2} = \sqrt{2} \times318​=2​×32​=2​×3

STEP 5

The final simplified form of 18\sqrt{18}18​ is 323\sqrt{2}32​.So, 18=32\sqrt{18} =3\sqrt{2}18​=32​.

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Studdy solves anything!

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QuestionSimplify $\sqrt{18}$ .

To simplify the square root of a number, we need to find the prime factorization of the number under the root. $\sqrt{18} = \sqrt{2 \times^2}$

We can simplify the square root by taking the square root of any perfect square numbers. In this case, $3^2$ is a perfect square.
$\sqrt{18} = \sqrt{2 \times3^2} = \sqrt{2} \times \sqrt{3^2}$

Now, simplify the square root of the perfect square number.
$\sqrt{18} = \sqrt{2} \times \sqrt{3^2} = \sqrt{2} \times3$

The final simplified form of $\sqrt{18}$ is $3\sqrt{2}$ .
So, $\sqrt{18} =3\sqrt{2}$ .