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Algebra Level 2

If a = b 2 a={ b }^{ 2 } then which of the following holds ?

a = − b \sqrt { a } =-b None of the above a = + b o r − b \sqrt { a } =+b\quad or -b a = + b \sqrt { a } =+b

Archit Boobna by Archit Boobna , 20, India

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1 solution

Karthik Akondi
Oct 21, 2014

a = b 2 ⟹ a = ∣ b ∣ a=b^2 \implies \sqrt{a} = |b| (Because we always take the positive square root)

Because we initially don't know whether b b is positive or negative, the value ∣ b ∣ |b| could be anything out of + b +b and − b -b .

1 Helpful 0 Interesting 0 Brilliant 0 Confused

@Karthik Akondi , I have edited the LaTeX, but your solution was previously incomplete. I have completed it, have a look.

Aditya Raut - 6 years, 7 months ago

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