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OpenStudy (anonymous):
Simplify √-175 using the imaginary number i.
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OpenStudy (saifoo.khan):
what's \(\sqrt{-1} \)?
OpenStudy (anonymous):
sqrt(ab)= sqrt(a)*sqrt(b) therefore with that being said sqrt(-1)*sqrt(175) = isqrt(175) because sqrt(-1) = i
OpenStudy (anonymous):
and because we know 175 = 25*7 so we can simplify more and write isqrt(25)sqrt(7) = 5isqrt(7)
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