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: Mark x+5 and press
square_root button, then mark 17 and press
square_root button again;
Step 2: Now, mark 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. Mark 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. Mark 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.