Solve sqrt{2*3835*10^-5*20*05*10^-3}=

$$\sqrt { 2 \times 3835 \times 10 ^ { - 5 } \times 20 \times 05 \times 10 ^ { - 3 } } =$$

Evaluate

$$0$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -5 and -3 to get -8.

$$\sqrt{2\times 3835\times 10^{-8}\times 20\times 0\times 5}$$

Multiply 2 and 3835 to get 7670.

$$\sqrt{7670\times 10^{-8}\times 20\times 0\times 5}$$

Calculate 10 to the power of -8 and get \frac{1}{100000000}.

$$\sqrt{7670\times \frac{1}{100000000}\times 20\times 0\times 5}$$

Multiply 7670 and \frac{1}{100000000} to get \frac{767}{10000000}.

$$\sqrt{\frac{767}{10000000}\times 20\times 0\times 5}$$

Multiply \frac{767}{10000000} and 20 to get \frac{767}{500000}.

$$\sqrt{\frac{767}{500000}\times 0\times 5}$$

Multiply \frac{767}{500000} and 0 to get 0.

$$\sqrt{0\times 5}$$

Multiply 0 and 5 to get 0.

$$\sqrt{0}$$

Calculate the square root of 0 and get 0.

$$0$$

Factor

$$0$$