Solve (sqrt{3^2/3})+2(sqrt{3^2/3})=

$$( \sqrt{ \frac{ { 3 }^{ 2 } }{ 3 } } )+2( \sqrt{ \frac{ { 3 }^{ 2 } }{ 3 } } )=$$

Evaluate

$$3\sqrt{3}\approx 5.196152423$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.

$$\sqrt{3^{1}}+2\sqrt{\frac{3^{2}}{3}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 2 to get 1.

$$\sqrt{3^{1}}+2\sqrt{3^{1}}$$

Calculate 3 to the power of 1 and get 3.

$$\sqrt{3}+2\sqrt{3^{1}}$$

Calculate 3 to the power of 1 and get 3.

$$\sqrt{3}+2\sqrt{3}$$

Combine \sqrt{3} and 2\sqrt{3} to get 3\sqrt{3}.

$$3\sqrt{3}$$