Solve 3^2+6sqrt{8}

$${ 3 }^{ 2 } +6 \sqrt{ 8 }$$

Evaluate

$$12\sqrt{2}+9\approx 25.970562748$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$9+6\sqrt{8}$$

Factor 8=2^{2}\times 2. Rewrite the square root of the product \sqrt{2^{2}\times 2} as the product of square roots \sqrt{2^{2}}\sqrt{2}. Take the square root of 2^{2}.

$$9+6\times 2\sqrt{2}$$

Multiply 6 and 2 to get 12.

$$9+12\sqrt{2}$$

Factor

$$3 {(4 \sqrt{2} + 3)} = 25.970562748$$