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Katyanochek1 [597]
2 years ago
14

Which expression is equivalent to sqrt -108 - sqrt -3

Mathematics
2 answers:
Artyom0805 [142]2 years ago
5 0

sqrt (-108) - sqrt (-3)

sqrt(-1) sqrt(108) - sqrt(-1) sqrt(3)

sqrt(-1)*sqrt(36)*sqrt(3)-sqrt(-1)sqrt(3)

sqrt(-1)sqrt(3) (6-1)

isqrt(3)5

5isqrt(3)

Choice A


xxTIMURxx [149]2 years ago
4 0

answer : Option A

\sqrt{-108} - \sqrt{-3}

first we simplify each square root

The value of square root (-1) = i, to remove negative inside the square root we use 'i'

\sqrt{-108} =\sqrt{-36* 3}= 6i\sqrt{3}

\sqrt{-3} = i\sqrt{3} (we cannot simplify square root (3))

\sqrt{-108} - \sqrt{-3}

6i\sqrt{3} - i\sqrt{3}

Both are like terms, so we subtract it

5i\sqrt{3}

5\sqrt{3} i

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