Question Number 14491 by kailash2177mahto@gmail.com last updated on 01/Jun/17
$$\sqrt{\mathrm{25}} \\ $$$$ \\ $$
Answered by FilupS last updated on 01/Jun/17
$$\mathrm{25}=\left(\pm\mathrm{5}\right)^{\mathrm{2}} \\ $$$$\sqrt{\mathrm{25}}=\sqrt{\left(\pm\mathrm{5}\right)^{\mathrm{2}} }=\pm\mathrm{5} \\ $$
Commented by Mr Chheang Chantria last updated on 01/Jun/17
$$\mathrm{No}\:\mathrm{wrong}\:\mathrm{answer}\:\mathrm{is}\:\mathrm{only}\:\mathrm{5} \\ $$
Commented by RasheedSindhi last updated on 01/Jun/17
$$\mathrm{Negative}\:\mathrm{square}\:\mathrm{root}\:\mathrm{is}\:\mathrm{denoted} \\ $$$$\mathrm{as}\:\:−\sqrt{\:\:\:\:\:\:}\:\:\:.\mathrm{So}\: \\ $$$$−\sqrt{\mathrm{25}}\:=−\mathrm{5} \\ $$$$\pm\sqrt{\mathrm{25}}\:=\pm\mathrm{5} \\ $$$$\sqrt{\mathrm{25}}\:=\mathrm{5} \\ $$
Commented by FilupS last updated on 01/Jun/17
$$\mathrm{But}\:\mathrm{for}: \\ $$$${x}^{\mathrm{2}} −\mathrm{25}=\mathrm{0} \\ $$$${x}^{\mathrm{2}} =\mathrm{25} \\ $$$${x}=\pm\mathrm{5} \\ $$
Commented by RasheedSoomro last updated on 01/Jun/17
$$\mathrm{x}^{\mathrm{2}} =\mathrm{25}\Rightarrow\mathrm{x}=\pm\sqrt{\mathrm{25}}\:\:\Rightarrow\mathrm{x}=\pm\mathrm{5} \\ $$
Commented by FilupS last updated on 02/Jun/17
$$\mathrm{Ahh}\:\mathrm{I}\:\mathrm{understand}! \\ $$