Evaluate 5/(2 square root of 66)

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Trigonometry

$\frac{5}{2 \sqrt{66}}$

Multiply $\frac{5}{2 \sqrt{66}}$ by $\frac{\sqrt{66}}{\sqrt{66}}$ .

$\frac{5}{2 \sqrt{66}} \cdot \frac{\sqrt{66}}{\sqrt{66}}$

Combine and simplify the denominator.

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Multiply $\frac{5}{2 \sqrt{66}}$ and $\frac{\sqrt{66}}{\sqrt{66}}$ .

$\frac{5 \sqrt{66}}{2 \sqrt{66} \sqrt{66}}$

Move $\sqrt{66}$ .

$\frac{5 \sqrt{66}}{2 (\sqrt{66} \sqrt{66})}$

Raise $\sqrt{66}$ to the power of $1$ .

$\frac{5 \sqrt{66}}{2 ({\sqrt{66}}^{1} \sqrt{66})}$

Raise $\sqrt{66}$ to the power of $1$ .

$\frac{5 \sqrt{66}}{2 ({\sqrt{66}}^{1} {\sqrt{66}}^{1})}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{5 \sqrt{66}}{2 {\sqrt{66}}^{1 + 1}}$

Add $1$ and $1$ .

$\frac{5 \sqrt{66}}{2 {\sqrt{66}}^{2}}$

Rewrite ${\sqrt{66}}^{2}$ as $66$ .

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Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{66}$ as $66^{\frac{1}{2}}$ .

$\frac{5 \sqrt{66}}{2 {(66^{\frac{1}{2}})}^{2}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{5 \sqrt{66}}{2 \cdot 66^{\frac{1}{2} \cdot 2}}$

Combine $\frac{1}{2}$ and $2$ .

$\frac{5 \sqrt{66}}{2 \cdot 66^{\frac{2}{2}}}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{5 \sqrt{66}}{2 \cdot 66^{\frac{2}{2}}}$

Divide $1$ by $1$ .

$\frac{5 \sqrt{66}}{2 \cdot 66^{1}}$

Evaluate the exponent.

$\frac{5 \sqrt{66}}{2 \cdot 66}$

Multiply $2$ by $66$ .

$\frac{5 \sqrt{66}}{132}$

The result can be shown in multiple forms.

Exact Form:

$\frac{5 \sqrt{66}}{132}$

Decimal Form:

$0.30772872 \dots$

Do you know how to Evaluate 5/(2 square root of 66)? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name

Name	one billion three hundred two million nine hundred sixty thousand five hundred fifty-eight

Interesting facts

1302960558 has 8 divisors, whose sum is 2605921128
The reverse of 1302960558 is 8550692031
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 39
Digital Root 3

Name

Name	one billion five hundred two million seven hundred sixty-two thousand ninety-seven

Interesting facts

1502762097 has 8 divisors, whose sum is 2008333440
The reverse of 1502762097 is 7902672051
Previous prime number is 431

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 39
Digital Root 3

Name

Name	seven hundred ninety-eight million six hundred seventy-eight thousand two hundred fifty-five

Interesting facts

798678255 has 32 divisors, whose sum is 1289991168
The reverse of 798678255 is 552876897
Previous prime number is 277

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 57
Digital Root 3

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