Evaluate square root of (1-(-3/5))/2

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Trigonometry

$\sqrt{\frac{1 - (- \frac{3}{5})}{2}}$

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

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Multiply $- 1$ by $- 1$ .

$\sqrt{\frac{1 + 1 (\frac{3}{5})}{2}}$

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

$\sqrt{\frac{1 + \frac{3}{5}}{2}}$

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

$\sqrt{\frac{\frac{5}{5} + \frac{3}{5}}{2}}$

Combine the numerators over the common denominator.

$\sqrt{\frac{\frac{5 + 3}{5}}{2}}$

Add $5$ and $3$ .

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

Multiply the numerator by the reciprocal of the denominator.

$\sqrt{\frac{8}{5} \cdot \frac{1}{2}}$

Cancel the common factor of $2$ .

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Factor $2$ out of $8$ .

$\sqrt{\frac{2 (4)}{5} \cdot \frac{1}{2}}$

Cancel the common factor.

$\sqrt{\frac{2 \cdot 4}{5} \cdot \frac{1}{2}}$

Rewrite the expression.

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

Rewrite $\sqrt{\frac{4}{5}}$ as $\frac{\sqrt{4}}{\sqrt{5}}$ .

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

Simplify the numerator.

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

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

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

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

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

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

Combine and simplify the denominator.

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

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

Raise $\sqrt{5}$ to the power of $1$ .

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

Raise $\sqrt{5}$ to the power of $1$ .

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

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

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

Add $1$ and $1$ .

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

Rewrite ${\sqrt{5}}^{2}$ as $5$ .

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Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{5}$ as $5^{\frac{1}{2}}$ .

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

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

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

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

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

Cancel the common factor of $2$ .

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Cancel the common factor.

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

Divide $1$ by $1$ .

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

Evaluate the exponent.

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

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$0.89442719 \dots$

Do you know how to Evaluate square root of (1-(-3/5))/2? 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	fifty-five million six hundred three thousand six hundred eighteen

Interesting facts

55603618 has 8 divisors, whose sum is 95320512
The reverse of 55603618 is 81630655
Previous prime number is 7

Basic properties

Is Prime? no
Number parity even
Number length 8
Sum of Digits 34
Digital Root 7

Name

Name	one billion six hundred eighty-seven million eight hundred ninety-seven thousand seven hundred twenty

Interesting facts

1687897720 has 32 divisors, whose sum is 6835985928
The reverse of 1687897720 is 0277987861
Previous prime number is 5

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 55
Digital Root 1

Name

Name	one billion three hundred twenty-eight million one hundred two thousand twenty-one

Interesting facts

1328102021 has 4 divisors, whose sum is 1328180172
The reverse of 1328102021 is 1202018231
Previous prime number is 24977

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 20
Digital Root 2

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