Question

$$\sqrt{29}4-\sqrt{150}+2\sqrt{6}-\sqrt{96}=$$

Answer

4*sqrt(29)-7*sqrt(6)

Solution


Simplify  \(\sqrt{150}\)  to  \(5\sqrt{6}\).
\[\sqrt{29}\times 4-5\sqrt{6}+2\sqrt{6}-\sqrt{96}\]
Simplify  \(\sqrt{96}\)  to  \(4\sqrt{6}\).
\[\sqrt{29}\times 4-5\sqrt{6}+2\sqrt{6}-4\sqrt{6}\]
Regroup terms.
\[4\sqrt{29}-5\sqrt{6}+2\sqrt{6}-4\sqrt{6}\]
Collect like terms.
\[4\sqrt{29}+(-5\sqrt{6}+2\sqrt{6}-4\sqrt{6})\]
Simplify.
\[4\sqrt{29}-7\sqrt{6}\]

Decimal Form: 4.394231