Solve sqrt{90*30^3}

$$\sqrt{ 90 \times { 30 }^{ 3 } }$$

Evaluate

$$900\sqrt{3}\approx 1558.845726812$$

Solution Steps

Calculate 30 to the power of 3 and get 27000.

$$\sqrt{90\times 27000}$$

Multiply 90 and 27000 to get 2430000.

$$\sqrt{2430000}$$

Factor 2430000=900^{2}\times 3. Rewrite the square root of the product \sqrt{900^{2}\times 3} as the product of square roots \sqrt{900^{2}}\sqrt{3}. Take the square root of 900^{2}.

$$900\sqrt{3}$$