Solve 1125sqrt{58*36^2}

$$1125 \sqrt{ 58 \times { 36 }^{ 2 } }$$

Evaluate

$$40500\sqrt{58}\approx 308438.810787488$$

Solution Steps

Calculate 36 to the power of 2 and get 1296.

$$1125\sqrt{58\times 1296}$$

Multiply 58 and 1296 to get 75168.

$$1125\sqrt{75168}$$

Factor 75168=36^{2}\times 58. Rewrite the square root of the product \sqrt{36^{2}\times 58} as the product of square roots \sqrt{36^{2}}\sqrt{58}. Take the square root of 36^{2}.

$$1125\times 36\sqrt{58}$$

Multiply 1125 and 36 to get 40500.

$$40500\sqrt{58}$$