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what is the square root of 0?

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Director
Joined: 29 Nov 2012
Posts: 868

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what is the square root of 0? [#permalink]

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18 Jan 2013, 04:03
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is the square root of 0 = 0 ?
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Kudos [?]: 1413 [2], given: 543

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129148 [0], given: 12194

Re: what is the square root of 0? [#permalink]

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18 Jan 2013, 04:04
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fozzzy wrote:
is the square root of 0 = 0 ?

Yes, $$\sqrt{0}=0$$, since $$0^2=0$$.

Hope it's clear.
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Kudos [?]: 129148 [0], given: 12194

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Re: what is the square root of 0? [#permalink]

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20 Jun 2016, 09:20
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what is the square root of 0? [#permalink]

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25 Jun 2016, 10:33
Bunuel wrote:
fozzzy wrote:
is the square root of 0 = 0 ?

Yes, $$\sqrt{0}=0$$, since $$0^2=0$$.

Hope it's clear.

What about square root of -1? I have never seen square root of -1 in GMAT and assume that such case is not tested?

Kudos [?]: 32 [0], given: 9

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129148 [0], given: 12194

Re: what is the square root of 0? [#permalink]

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25 Jun 2016, 23:33
bimalr9 wrote:
Bunuel wrote:
fozzzy wrote:
is the square root of 0 = 0 ?

Yes, $$\sqrt{0}=0$$, since $$0^2=0$$.

Hope it's clear.

What about square root of -1? I have never seen square root of -1 in GMAT and assume that such case is not tested?

All numbers on the GMAT are real numbers, so $$\sqrt{negative}$$, which is an imaginary number, is not defined for the GMAT.
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Kudos [?]: 129148 [0], given: 12194

Re: what is the square root of 0?   [#permalink] 25 Jun 2016, 23:33
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