Evaluate v((- square root of 3)^2+(1)^2)

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Trigonometry

$v ({(- \sqrt{3})}^{2} + {(1)}^{2})$

Simplify each term.

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Apply the product rule to $- \sqrt{3}$ .

$v ({(- 1)}^{2} {\sqrt{3}}^{2} + {(1)}^{2})$

Raise $- 1$ to the power of $2$ .

$v (1 {\sqrt{3}}^{2} + {(1)}^{2})$

Multiply ${\sqrt{3}}^{2}$ by $1$ .

$v ({\sqrt{3}}^{2} + {(1)}^{2})$

Rewrite ${\sqrt{3}}^{2}$ as $3$ .

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Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{3}$ as $3^{\frac{1}{2}}$ .

$v ({(3^{\frac{1}{2}})}^{2} + {(1)}^{2})$

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

$v (3^{\frac{1}{2} \cdot 2} + {(1)}^{2})$

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

$v (3^{\frac{2}{2}} + {(1)}^{2})$

Cancel the common factor of $2$ .

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Cancel the common factor.

$v (3^{\frac{2}{2}} + {(1)}^{2})$

Divide $1$ by $1$ .

$v (3^{1} + {(1)}^{2})$

Evaluate the exponent.

$v (3 + {(1)}^{2})$

One to any power is one.

$v (3 + 1)$

Simplify the expression.

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Add $3$ and $1$ .

$v \cdot 4$

Move $4$ to the left of $v$ .

$4 v$

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Name

Name	one billion four hundred eighty million eight hundred seventy-six thousand four hundred six

Interesting facts

1480876406 has 8 divisors, whose sum is 2230165224
The reverse of 1480876406 is 6046780841
Previous prime number is 251

Basic properties

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

Name

Name	two billion one hundred four million seven hundred thirty-six thousand six hundred sixteen

Interesting facts

2104736616 has 32 divisors, whose sum is 7366578912
The reverse of 2104736616 is 6166374012
Previous prime number is 27

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 36
Digital Root 9

Name

Name	five hundred twelve million seventy-four thousand two hundred forty-four

Interesting facts

512074244 has 32 divisors, whose sum is 1216425600
The reverse of 512074244 is 442470215
Previous prime number is 19

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 29
Digital Root 2

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Convert to Interval Notation 11<=5x-4<=31