Input: 121^-1/2 as a surd
Intepretation: Express the number \(121^{-\frac{1}{2}}\)
We apply the rule of exponentials:
\(a^\frac{n}{m}\)=\(\sqrt[m]{a^n}\)
And:
\(a^{-b}=\frac{1}{a^b}\)
Merge the two rules and we get:
\(a^{-\frac{n}{m}}=\frac{1}{\sqrt[m]{a^n}}\)
Now plug \(a=121,m=2,n=1\) into the equation above:
\(121^{-\frac{1}{2}}=\frac{1}{\sqrt[2]{121^1}}\)
Simplify:
\(=\frac{1}{\sqrt{121}}\)
\(=\frac{1}{11}\)
Done :D
Or, since indices comes before division:
\(\frac{121^{-1}}{2}=\frac{1}{2*121}=\frac{1}{242}\)
Don't know what it means, either. I fact-checked the wikipedia and it seems to either be the short term for irrational numbers, or the nth-root of numbers. But this question is answered anyways :D
(Source: https://en.wikipedia.org/wiki/Surd) -Disambiguation Page
A surd is a commonly used term used in Australia.
It means an irrational number that is under a square root.
Maybe it applies to other roots other than 2 but I do not recall seeing it ever being used that way.
Usually it is the irrational square root of a positive integer.
So for this question it makes no sense as the answer is rational.
. . . for this question it makes no sense as the answer is rational.
Then that makes the answer absurd
https://web2.0calc.com/questions/which-of-the-following-is-not-a-surd