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Sergeu [11.5K]
3 years ago
14

ASAP! Simplify -5 - square root -44

Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0

Answer:

\boldmath-5-2i\sqrt{\boldmath11}

Step-by-step explanation:

The not simplified form is -5-\sqrt{-44}

you know that \sqrt{a\times b} = \sqrt{a} \times\sqrt{b} is true a and b are both positive or one of it is negative (not both of them).

You can write -44 as -1 × 4 × 11 inside square root.

So, \sqrt{-44} = \sqrt{-1\times4\times11}=\sqrt{-1}\times\sqrt{4}\times\sqrt{11}=i\times2\times\sqrt{11}         (\sqrt{4}=2)

\therefore -5-\sqrt{-44} = -5-2i\sqrt{11}

(NOTE : You must know that \boldmath\sqrt{\boldmath-1} is written as \boldsymbol i )

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