√(10)√(2)/
√(15) =?
If a ≠ -b, then a-b/a+b =?
what is the reciprocal of a/b+b/a?
x/yz divided by (y) =?
thanks!
Please show steps if possible
1. Note and use the following rules
$\displaystyle \sqrt{a} \sqrt{b} = \sqrt{ab}$
$\displaystyle \sqrt{a^2b} = a \sqrt{b}$
2. This cannot be simplified further. a does not equal b because if it did there would be division by 0
3. The reciprocal of x is 1/x. In other words flip the fraction.
You could say $\displaystyle \frac{1}{\frac{a}{b}+\frac{b}{a}}$ but that's crude and it would be better to get a single denominator first
4. When dividing by a whole number/variable multiply the denominator by the value:
$\displaystyle
\frac{1}{a} \div b = \frac{1}{ab}$