Question

Answer 1

a: \(-0,8\cdot\sqrt{\left(-0,125\right)^2}=-0,8\cdot\left|-0,125\right|\)

\(=-\frac45\cdot\frac54=-1\)

b: \(\sqrt{\left(-2\right)^6}=\sqrt{2^6}=2^3=8\)

c: \(\sqrt{\left(\sqrt3-2\right)^2}=\left|\sqrt3-2\right|=2-\sqrt3\)

d: \(\sqrt{\left(2\sqrt2-3\right)^2}=\left|2\sqrt2-3\right|=3-2\sqrt2\)

e: \(\sqrt{\left(\frac{1}{\sqrt2}-\frac12\right)^2}=\left|\frac{1}{\sqrt2}-\frac12\right|=\left|\frac{\sqrt2-1}{2}\right|=\frac{\sqrt2-1}{2}\)

f: \(\sqrt{\left(0,1-\sqrt{0,1}\right)^2}=\left|0,1-\sqrt{0,1}\right|=\sqrt{0,1}-0,1\)