Evaluate square root of -18+ square root of -72

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$\sqrt{- 18} + \sqrt{- 72}$

Simplify each term.

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Rewrite $- 18$ as $- 1 (18)$ .

$\sqrt{- 1 (18)} + \sqrt{- 72}$

Rewrite $\sqrt{- 1 (18)}$ as $\sqrt{- 1} \cdot \sqrt{18}$ .

$\sqrt{- 1} \cdot \sqrt{18} + \sqrt{- 72}$

Rewrite $\sqrt{- 1}$ as $i$ .

$i \cdot \sqrt{18} + \sqrt{- 72}$

Rewrite $18$ as $3^{2} \cdot 2$ .

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Factor $9$ out of $18$ .

$i \cdot \sqrt{9 (2)} + \sqrt{- 72}$

Rewrite $9$ as $3^{2}$ .

$i \cdot \sqrt{3^{2} \cdot 2} + \sqrt{- 72}$

Pull terms out from under the radical.

$i \cdot (3 \sqrt{2}) + \sqrt{- 72}$

Move $3$ to the left of $i$ .

$3 \cdot i \sqrt{2} + \sqrt{- 72}$

Rewrite $- 72$ as $- 1 (72)$ .

$3 i \sqrt{2} + \sqrt{- 1 (72)}$

Rewrite $\sqrt{- 1 (72)}$ as $\sqrt{- 1} \cdot \sqrt{72}$ .

$3 i \sqrt{2} + \sqrt{- 1} \cdot \sqrt{72}$

Rewrite $\sqrt{- 1}$ as $i$ .

$3 i \sqrt{2} + i \cdot \sqrt{72}$

Rewrite $72$ as $6^{2} \cdot 2$ .

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Factor $36$ out of $72$ .

$3 i \sqrt{2} + i \cdot \sqrt{36 (2)}$

Rewrite $36$ as $6^{2}$ .

$3 i \sqrt{2} + i \cdot \sqrt{6^{2} \cdot 2}$

Pull terms out from under the radical.

$3 i \sqrt{2} + i \cdot (6 \sqrt{2})$

Move $6$ to the left of $i$ .

$3 i \sqrt{2} + 6 i \sqrt{2}$

Add $3 i \sqrt{2}$ and $6 i \sqrt{2}$ .

$9 i \sqrt{2}$

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Name

Name	one billion two hundred forty-two million three hundred thirty-four thousand eight hundred seventy-four

Interesting facts

1242334874 has 32 divisors, whose sum is 2265796800
The reverse of 1242334874 is 4784332421
Previous prime number is 17

Basic properties

Is Prime? no
Number parity even
Number length 10
Sum of Digits 38
Digital Root 2

Name

Name	nine hundred sixty-three million five hundred eighty-nine thousand seven hundred eighty-eight

Interesting facts

963589788 has 32 divisors, whose sum is 2318423040
The reverse of 963589788 is 887985369
Previous prime number is 19

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 63
Digital Root 9

Name

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

Interesting facts

1851922803 has 16 divisors, whose sum is 2560989600
The reverse of 1851922803 is 3082291581
Previous prime number is 29

Basic properties

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

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