Solve 12-6*9sqrt{8}

$$12-6 \times 9 \sqrt{ 8 }$$

Evaluate

$$12-108\sqrt{2}\approx -140.735064736$$

Solution Steps

Multiply 6 and 9 to get 54.

$$12-54\sqrt{8}$$

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}.

$$12-54\times 2\sqrt{2}$$

Multiply 54 and 2 to get 108.

$$12-108\sqrt{2}$$

Factor

$$12 {(1 - 9 \sqrt{2})} = -140.735064736$$