Evaluate -5/(2 square root of 6)

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Trigonometry

$- \frac{5}{2 \sqrt{6}}$

Multiply $\frac{5}{2 \sqrt{6}}$ by $\frac{\sqrt{6}}{\sqrt{6}}$ .

$- (\frac{5}{2 \sqrt{6}} \cdot \frac{\sqrt{6}}{\sqrt{6}})$

Combine and simplify the denominator.

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Multiply $\frac{5}{2 \sqrt{6}}$ and $\frac{\sqrt{6}}{\sqrt{6}}$ .

$- \frac{5 \sqrt{6}}{2 \sqrt{6} \sqrt{6}}$

Move $\sqrt{6}$ .

$- \frac{5 \sqrt{6}}{2 (\sqrt{6} \sqrt{6})}$

Raise $\sqrt{6}$ to the power of $1$ .

$- \frac{5 \sqrt{6}}{2 ({\sqrt{6}}^{1} \sqrt{6})}$

Raise $\sqrt{6}$ to the power of $1$ .

$- \frac{5 \sqrt{6}}{2 ({\sqrt{6}}^{1} {\sqrt{6}}^{1})}$

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

$- \frac{5 \sqrt{6}}{2 {\sqrt{6}}^{1 + 1}}$

Add $1$ and $1$ .

$- \frac{5 \sqrt{6}}{2 {\sqrt{6}}^{2}}$

Rewrite ${\sqrt{6}}^{2}$ as $6$ .

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Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{6}$ as $6^{\frac{1}{2}}$ .

$- \frac{5 \sqrt{6}}{2 {(6^{\frac{1}{2}})}^{2}}$

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

$- \frac{5 \sqrt{6}}{2 \cdot 6^{\frac{1}{2} \cdot 2}}$

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

$- \frac{5 \sqrt{6}}{2 \cdot 6^{\frac{2}{2}}}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$- \frac{5 \sqrt{6}}{2 \cdot 6^{\frac{2}{2}}}$

Divide $1$ by $1$ .

$- \frac{5 \sqrt{6}}{2 \cdot 6^{1}}$

Evaluate the exponent.

$- \frac{5 \sqrt{6}}{2 \cdot 6}$

Multiply $2$ by $6$ .

$- \frac{5 \sqrt{6}}{12}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{5 \sqrt{6}}{12}$

Decimal Form:

$- 1.02062072 \dots$

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Name

Name	one billion eight hundred seventy million three hundred thirty thousand nine hundred sixty-five

Interesting facts

1870330965 has 32 divisors, whose sum is 3010867200
The reverse of 1870330965 is 5690330781
Previous prime number is 431

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 42
Digital Root 6

Name

Name	one billion four hundred sixty-nine million four hundred fifty-three thousand eight hundred thirty-one

Interesting facts

1469453831 has 4 divisors, whose sum is 1533343152
The reverse of 1469453831 is 1383549641
Previous prime number is 23

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 44
Digital Root 8

Name

Name	thirty million five hundred sixty-six thousand five hundred ninety-six

Interesting facts

30566596 has 8 divisors, whose sum is 68774850
The reverse of 30566596 is 69566503
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 8
Sum of Digits 40
Digital Root 4

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