I think that everybody will agree that \({(\sqrt{9+\sqrt{80}}+\sqrt{9-\sqrt{80}})^2}\) is much easier to understand than (sqr root of (9 +sqr root of 80)+sqr root of (9 - sqr root 80))^2.

So, in order to help you with the questions you post more efficiently please use the following guide to write math formulas.

Square roots

How to make (x+5)^(1/2)<17^(1/2) to look like \(\sqrt{x+5}<\sqrt{17}\):

Step 1: Highlight x+5 and press

square_root button, then highlight 17 and press

square_root button again;

Step 2: Now, highlight the whole expression and press

m button.

Other Useful Symbols

Another Way of Writing Fractions:How to make (a+b)/c to look like \(\frac{a+b}{c}\)

Step 1: Write \frac{a+b}{c}, (note that numerator and denominator must be enclosed in

{ } and you must write out

\frac to tell the system that it is a fraction);

Step 2. Highlight the whole expression and press

m button.

ExponentsHow to make x^12 to look like \(x^{12}\)

Step 1: Write

x^{12}, (note that multi-digit powers must be enclosed in

{ });

Step 2. Highlight the whole expression and press

m button.

RootsHow to make 3rd root of x^2 to look like \(\sqrt[3]{x^2}\)

Step 1: Write

\sqrt[3]{x^2}, (note that 3 must be enclosed in

[ ] and 2 must be enclosed in

{ });

Step 2. Highlight the whole expression and press

m button.

Inequalities\(x\approx{3}\): write x\approx{3} and press

m button (note that 3 must be enclosed in

{ }).

\(x\leq5\): write x\leq{5} and press

m button.

\(x\geq3\): write x\geq{3} and press

m button.

\(x\neq0\): write x\neq{0} and press

m button.

Subscript\(x_1\): write x_1 and press

m button. If a subscript is more than one-digit number, for example \(x_{15}\) then write x_{15} and press

m button (note that such kind of subscripts must be enclosed in

{ }).

Geometry\(\pi\): write \pi and press

m button;

\(\angle\): write \angle and press

m button;

\(90^{\circ}\): write 90^{\circ} and press

m button;

\(\alpha\): write \alpha and press

m button;

\(\triangle\): write \triangle and press

m button.