Question

Thanks

Answer 1

1. 

\(ab\sqrt{\frac{1}{a^2b^2}}=ab|\frac{1}{ab}|=\pm 1\)

2.

\(ab^2\sqrt{\frac{2}{a^2b^4}}=ab^2\sqrt{\frac{2}{(ab^2)}}=ab^2|\frac{1}{ab^2}|\sqrt{2}=ab^2.\frac{1}{|a|b^2}.\sqrt{2}=\frac{a}{|a|}\sqrt{2}=\pm \sqrt{2}\)

3.

\(\sqrt{\frac{x^2-4x+4}{16}}=\sqrt{\frac{(x-2)^2}{4^2}}=|\frac{x-2}{4}|\)

4.

\(\sqrt{\frac{2x^2+4x+2}{18}}=\sqrt{\frac{x^2+2x+1}{9}}=\sqrt{\frac{(x+1)^2}{3^2}}=|\frac{x+1}{3}|\)