Evaluate square root of (1-(-3/5))/(1-3/5)

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Trigonometry

$\sqrt{\frac{1 - (- \frac{3}{5})}{1 - \frac{3}{5}}}$

Multiply $- (- \frac{3}{5})$ .

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Multiply $- 1$ by $- 1$ .

$\sqrt{\frac{1 + 1 (\frac{3}{5})}{1 - \frac{3}{5}}}$

Multiply $\frac{3}{5}$ by $1$ .

$\sqrt{\frac{1 + \frac{3}{5}}{1 - \frac{3}{5}}}$

Write $1$ as a fraction with a common denominator.

$\sqrt{\frac{\frac{5}{5} + \frac{3}{5}}{1 - \frac{3}{5}}}$

Combine the numerators over the common denominator.

$\sqrt{\frac{\frac{5 + 3}{5}}{1 - \frac{3}{5}}}$

Add $5$ and $3$ .

$\sqrt{\frac{\frac{8}{5}}{1 - \frac{3}{5}}}$

Write $1$ as a fraction with a common denominator.

$\sqrt{\frac{\frac{8}{5}}{\frac{5}{5} - \frac{3}{5}}}$

Combine the numerators over the common denominator.

$\sqrt{\frac{\frac{8}{5}}{\frac{5 - 3}{5}}}$

Subtract $3$ from $5$ .

$\sqrt{\frac{\frac{8}{5}}{\frac{2}{5}}}$

Multiply the numerator by the reciprocal of the denominator.

$\sqrt{\frac{8}{5} \cdot \frac{5}{2}}$

Cancel the common factor of $2$ .

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Factor $2$ out of $8$ .

$\sqrt{\frac{2 (4)}{5} \cdot \frac{5}{2}}$

Cancel the common factor.

$\sqrt{\frac{2 \cdot 4}{5} \cdot \frac{5}{2}}$

Rewrite the expression.

$\sqrt{\frac{4}{5} \cdot 5}$

Cancel the common factor of $5$ .

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Cancel the common factor.

$\sqrt{\frac{4}{5} \cdot 5}$

Rewrite the expression.

$\sqrt{4}$

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$2$

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Name

Name	one billion three hundred ninety-three million four hundred forty-six thousand six hundred twenty-seven

Interesting facts

1393446627 has 8 divisors, whose sum is 2477238464
The reverse of 1393446627 is 7266443931
Previous prime number is 3

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 45
Digital Root 9

Name

Name	four hundred seventeen million eight hundred nineteen thousand six hundred forty-three

Interesting facts

417819643 has 16 divisors, whose sum is 446503680
The reverse of 417819643 is 346918714
Previous prime number is 97

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 43
Digital Root 7

Name

Name	one billion six hundred eighty-four million three hundred eighty-one thousand four hundred fourteen

Interesting facts

1684381414 has 16 divisors, whose sum is 2630412288
The reverse of 1684381414 is 4141834861
Previous prime number is 73

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 40
Digital Root 4

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