Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Is it correct to write sqrt(sqrt(x)) as equation/formula ? or root4(x) ?

I mean if x = 10000 it will be 10

share|cite|improve this question
One can write it as $x^{1/4}$, or as $\sqrt[4]{x}$; if you are asking about $\LaTeX$ code, the code for the latter is \sqrt[4]{x}. – Arturo Magidin Apr 5 '12 at 15:10
up vote 5 down vote accepted

It's not wrong to write $\sqrt{\sqrt{x}}$ in the same way that it's not wrong to write $\sqrt{\sqrt{\frac{2x^1}{2}}}$, but it's generally preferable to write expressions as simply as possible.

The phrase "square root" means the same thing as "one-half power". So,

$$ \sqrt{\sqrt{x}} = \sqrt{x^{1/2}} = (x^{1/2})^{1/2} = x^{1/2 \cdot 1/2} = x^{1/4}. $$

For the same reason as with square root, it would be appropriate to write either $x^{1/4}$ or $\sqrt[4] x$.

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.