Question

$$3 \sqrt{ 45 } - \sqrt{ 125 } + \sqrt{ 60 }$$

Answer

4*sqrt(5)+2*sqrt(15)

Solution


Simplify  \(\sqrt{45}\)  to  \(3\sqrt{5}\).
\[3\times 3\sqrt{5}-\sqrt{125}+\sqrt{60}\]
Simplify  \(\sqrt{125}\)  to  \(5\sqrt{5}\).
\[3\times 3\sqrt{5}-5\sqrt{5}+\sqrt{60}\]
Simplify  \(\sqrt{60}\)  to  \(2\sqrt{15}\).
\[3\times 3\sqrt{5}-5\sqrt{5}+2\sqrt{15}\]
Simplify  \(3\times 3\sqrt{5}\)  to  \(9\sqrt{5}\).
\[9\sqrt{5}-5\sqrt{5}+2\sqrt{15}\]
Collect like terms.
\[(9\sqrt{5}-5\sqrt{5})+2\sqrt{15}\]
Simplify.
\[4\sqrt{5}+2\sqrt{15}\]

Decimal Form: 16.690239