Question

Rút gọn các biểu thức sau:

a, \(\sqrt{\left(120-11\right)^2}+\sqrt{\left(10-\sqrt{120}\right)^2}\)

b, \(\sqrt{x+2+2\sqrt{x+1}-\sqrt{x+2+2\sqrt{x+1}}}\)      ( với đk x \(\ge\) -1 )

Giúp em với !!

Answer 1

\(\sqrt{\left(120-11\right)^2}+\sqrt{\left(10-\sqrt{120}\right)^2}\)

\(=120-11+10+\sqrt{120}\)

\(=\sqrt{120}\left(\sqrt{120}+1\right)-1\)

Answer 2

\(a,=\left(120-11\right)+\left|10-\sqrt{120}\right|=109+\sqrt{120}-10=99+2\sqrt{30}\\ b,=\sqrt{\left(\sqrt{x+1}+1\right)^2-\left(\sqrt{x+1}+1\right)^2}=\sqrt{0}=0\)