√((5-3√3)^2)

asked by guest
on Oct 26, 2024 at 9:22 am



You asked:

Evaluate the expression: \(\sqrt{{\left( 5 - 3 \cdot \sqrt{3} \right)}^{2}}\)

MathBot Answer:

\[\sqrt{{\left( 5 - 3 \cdot \sqrt{3} \right)}^{2}} = -5 + 3 \sqrt{3} \approx 0.19615242270663188058233902451762\]


\[\begin{aligned}\sqrt{{\left( 5 - 3 \cdot \sqrt{3} \right)}^{2}}& = \sqrt{\left(5 - 3 \cdot \sqrt{3}\right)^{2}}\\& = -5 + 3 \cdot \sqrt{3}\end{aligned}\]