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Exercise

$2\sqrt{-9}+3\sqrt{-100}$

Step-by-step Solution

1

Calculate the power $\sqrt{-100}$ using complex numbers

$2\cdot 3i+3\cdot 10i$
2

Multiply $2$ times $3$

$6i+3\cdot 10i$
3

Multiply $3$ times $10$

$6i+30i$
4

Combining like terms $6i$ and $30i$

$36$

Final answer to the exercise

$36$

Try other ways to solve this exercise

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Similar Questions Solved

$3\left(2\right)+2\left(3\right)$

$\sqrt{2}+7\sqrt{2}$

$\sqrt{1}+\sqrt{2}$

$-3\left(0\right)\left(1\right)+5\left(1\right)$

$+3\cdot-10+3\cdot-6$

$+3\cdot-10+3\cdot-6=$

$10\cdot11-4\cdot3$

Main Topic: Addition of Radicals

The addition of radicals consists of simplifying expressions that contain several terms with radicals.

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