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\sqrt{36-36x+36\left(1+x\right)}
Use the distributive property to multiply 36 by 1-x.
\sqrt{36-36x+36+36x}
Use the distributive property to multiply 36 by 1+x.
\sqrt{72-36x+36x}
Add 36 and 36 to get 72.
\sqrt{72}
Combine -36x and 36x to get 0.
6\sqrt{2}
Factor 72=6^{2}\times 2. Rewrite the square root of the product \sqrt{6^{2}\times 2} as the product of square roots \sqrt{6^{2}}\sqrt{2}. Take the square root of 6^{2}.