Solve 7sqrt{50}+1sqrt{10}

$$7 \sqrt{ 50 } +1 \sqrt{ 10 }$$

Evaluate

$$\sqrt{10}+35\sqrt{2}\approx 52.659752343$$

Solution Steps

Factor 50=5^{2}\times 2. Rewrite the square root of the product \sqrt{5^{2}\times 2} as the product of square roots \sqrt{5^{2}}\sqrt{2}. Take the square root of 5^{2}.

$$7\times 5\sqrt{2}+1\sqrt{10}$$

Multiply 7 and 5 to get 35.

$$35\sqrt{2}+1\sqrt{10}$$

For any term t, t\times 1=t and 1t=t.

$$35\sqrt{2}+\sqrt{10}$$