Solve sqrt{32-2(4-16)}approx

$$\sqrt { 32 - 2 ( 4 - 16 ) } \approx$$

Evaluate

$$2\sqrt{14}\approx 7.483314774$$

Solution Steps

Subtract 16 from 4 to get -12.

$$\sqrt{32-2\left(-12\right)}$$

Multiply 2 and -12 to get -24.

$$\sqrt{32-\left(-24\right)}$$

The opposite of -24 is 24.

$$\sqrt{32+24}$$

Add 32 and 24 to get 56.

$$\sqrt{56}$$

Factor 56=2^{2}\times 14. Rewrite the square root of the product \sqrt{2^{2}\times 14} as the product of square roots \sqrt{2^{2}}\sqrt{14}. Take the square root of 2^{2}.

$$2\sqrt{14}$$