Question

$$1/2 \times 3 \times \sqrt{ 25-9/4 }$$

Answer

(3*sqrt(91))/4

Solution


Simplify  \(25-\frac{9}{4}\)  to  \(\frac{91}{4}\).
\[\frac{1}{2}\times 3\sqrt{\frac{91}{4}}\]
Simplify  \(\sqrt{\frac{91}{4}}\)  to  \(\frac{\sqrt{91}}{\sqrt{4}}\).
\[\frac{1}{2}\times 3\times \frac{\sqrt{91}}{\sqrt{4}}\]
Since \(2\times 2=4\), the square root of \(4\) is \(2\).
\[\frac{1}{2}\times 3\times \frac{\sqrt{91}}{2}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{1\times 3\sqrt{91}}{2\times 2}\]
Simplify  \(1\times 3\sqrt{91}\)  to  \(3\sqrt{91}\).
\[\frac{3\sqrt{91}}{2\times 2}\]
Simplify  \(2\times 2\)  to  \(4\).
\[\frac{3\sqrt{91}}{4}\]

Decimal Form: 7.154544