Question

Evaluate a³-5g+(34-30)^0.5*(g+1)^0.5/2 if a=2 and g = 3

Answer 1

We are given the following expression

$a^{3}-5g+\sqrt[]{34-30}+\frac{\sqrt[]{g+1}}{2}$

whenever a=2 and g=3. What we should do, is replace the values of a and g and then operate accordingly. We will do this expression by expression and then operate eache term.

Consider the term a³. If a=2, then

$a^{3}=2^{3}=8$

in the case for 5g, if g=3, then

$5\cdot g=5\cdot3=15$

Now, let us analize sqrt(g+1), if g=3, then g+1=4. Then

$\frac{\sqrt[]{g+1}}{2}=\frac{\sqrt[]{4}}{2}$

in this case, we will always use positive square roots, so

$\frac{\sqrt[]{g+1}}{2}=\frac{\sqrt[]{4}}{2}=\frac{2}{2}=1$

Finally, we will calculate the remaining term

$\sqrt[]{34-30}=\sqrt[]{4}=2$

Then, the final procedure would be

$8-15+2+1\text{ = 11-15 =-4}$

So the final answer is -4