Solve 0,5sqrt{904}+1/6sqrt{144}=

$$0,5 \sqrt { 904 } + \frac { 1 } { 6 } \sqrt { 144 } =$$

Evaluate

$$\sqrt{226}+2\approx 17.033296378$$

Solution Steps

Factor 904=2^{2}\times 226. Rewrite the square root of the product \sqrt{2^{2}\times 226} as the product of square roots \sqrt{2^{2}}\sqrt{226}. Take the square root of 2^{2}.

$$0,5\times 2\sqrt{226}+\frac{1}{6}\sqrt{144}$$

Multiply 0,5 and 2 to get 1.

$$\sqrt{226}+\frac{1}{6}\sqrt{144}$$

Calculate the square root of 144 and get 12.

$$\sqrt{226}+\frac{1}{6}\times 12$$

Multiply \frac{1}{6} and 12 to get \frac{12}{6}.

$$\sqrt{226}+\frac{12}{6}$$

Divide 12 by 6 to get 2.

$$\sqrt{226}+2$$

Factor

$$\sqrt{226} + 2 = 17.033296378$$