Solve (sqrt{48}+sqrt{3})*2sqrt{3}

$$( \sqrt { 48 } + \sqrt { 3 } ) \times 2 \sqrt { 3 }$$

Evaluate

$$30$$

Solution Steps

Factor 48=4^{2}\times 3. Rewrite the square root of the product \sqrt{4^{2}\times 3} as the product of square roots \sqrt{4^{2}}\sqrt{3}. Take the square root of 4^{2}.

$$2\left(4\sqrt{3}+\sqrt{3}\right)\sqrt{3}$$

Combine 4\sqrt{3} and \sqrt{3} to get 5\sqrt{3}.

$$2\times 5\sqrt{3}\sqrt{3}$$

Multiply 2 and 5 to get 10.

$$10\sqrt{3}\sqrt{3}$$

Multiply \sqrt{3} and \sqrt{3} to get 3.

$$10\times 3$$

Multiply 10 and 3 to get 30.

$$30$$

Factor

$$2\times 3\times 5$$