Solve 21sqrt{9*sqrt{4}}

$$21 \sqrt{ 9 \times \sqrt{ 4 } }$$

Evaluate

$$63\sqrt{2}\approx 89.09545443$$

Solution Steps

Calculate the square root of 4 and get 2.

$$21\sqrt{9\times 2}$$

Multiply 9 and 2 to get 18.

$$21\sqrt{18}$$

Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.

$$21\times 3\sqrt{2}$$

Multiply 21 and 3 to get 63.

$$63\sqrt{2}$$