How do you solve #121^ { \frac { 1} { 2} }#?

2 Answers
Carl S.
Apr 17, 2018

11

Explanation:

#121^{1/2} = sqrt{121}#

#11 times 11 = 121 => sqrt{121} = 11#

Jim G.
Apr 17, 2018

#+-11#

Explanation:

#"using the "color(blue)"law of exponents"#

#•color(white)(x)a^(1/2)=sqrta#

#rArr121^(1/2)=+-sqrt121larrcolor(blue)"note plus or minus"#

#rArr121^(1/2)=+-11#

#"since "11xx11=121" and "-11xx-11=121#

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