Solve sqrt{4}0+4sqrt{10}+sqrt{90}

$$\sqrt { 4 } 0 + 4 \sqrt { 10 } + \sqrt { 90 }$$

Evaluate

$$7\sqrt{10}\approx 22.135943621$$

Solution Steps

Calculate the square root of 4 and get 2.

$$0\times 2+4\sqrt{10}+\sqrt{90}$$

Multiply 0 and 2 to get 0.

$$0+4\sqrt{10}+\sqrt{90}$$

Factor 90=3^{2}\times 10. Rewrite the square root of the product \sqrt{3^{2}\times 10} as the product of square roots \sqrt{3^{2}}\sqrt{10}. Take the square root of 3^{2}.

$$0+4\sqrt{10}+3\sqrt{10}$$

Combine 4\sqrt{10} and 3\sqrt{10} to get 7\sqrt{10}.

$$0+7\sqrt{10}$$

Anything plus zero gives itself.

$$7\sqrt{10}$$