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Question Number 14811 by Nayon last updated on 04/Jun/17

why (√x^2 )=∣x∣ ?

whyx2=∣x∣?

Answered by mrW1 last updated on 04/Jun/17

if x≥0, (√x^2 )=x=∣x∣ if x<0, (√x^2 )=(√((−x)^2 ))=(−x)=∣x∣ ⇒(√x^2 )=∣x∣ (always valid)

ifx⩾0,x2=x=∣x∣ifx<0,x2=(−x)2=(−x)=∣x∣⇒x2=∣x∣(alwaysvalid)

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