Question

$$7.345^{2}+\sqrt{(1.5)^{3}}$$

Answer

$$119025+1.5^(3/2)$$

Solution


Simplify  \(\sqrt{{1.5}^{3}}\)  to  \({({1.5}^{3})}^{\frac{1}{2}}\).
\[{345}^{2}+{({1.5}^{3})}^{\frac{1}{2}}\]
Simplify  \({345}^{2}\)  to  \(119025\).
\[119025+{({1.5}^{3})}^{\frac{1}{2}}\]
Use this rule: \({({x}^{a})}^{b}={x}^{ab}\).
\[119025+{1.5}^{\frac{3}{2}}\]

Decimal Form: 119026.837117