Solve 4sqrt{6}+5sqrt{24}

$$4 \sqrt{ 6 } +5 \sqrt{ 24 }$$

Evaluate

$$14\sqrt{6}\approx 34.292856399$$

Solution Steps

Factor 24=2^{2}\times 6. Rewrite the square root of the product \sqrt{2^{2}\times 6} as the product of square roots \sqrt{2^{2}}\sqrt{6}. Take the square root of 2^{2}.

$$4\sqrt{6}+5\times 2\sqrt{6}$$

Multiply 5 and 2 to get 10.

$$4\sqrt{6}+10\sqrt{6}$$

Combine 4\sqrt{6} and 10\sqrt{6} to get 14\sqrt{6}.

$$14\sqrt{6}$$