Solve sqrt{27}0^2+150^2

$$\sqrt{ 27 } { 0 }^{ 2 } + { 150 }^{ 2 }$$

Evaluate

$$22500$$

Solution Steps

Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.

$$3\sqrt{3}\times 0^{2}+150^{2}$$

Calculate 0 to the power of 2 and get 0.

$$3\sqrt{3}\times 0+150^{2}$$

Multiply 3 and 0 to get 0.

$$0\sqrt{3}+150^{2}$$

Anything times zero gives zero.

$$0+150^{2}$$

Calculate 150 to the power of 2 and get 22500.

$$0+22500$$

Add 0 and 22500 to get 22500.

$$22500$$

Factor

$$2^{2}\times 3^{2}\times 5^{4}$$