4)
[tex]\bf \sqrt{102}\implies 10.099
\\\\\\
\sqrt{121}\implies 11\quad \checkmark
\\\\\\
\sqrt{125}\implies 11.18
\\\\\\
\sqrt{144}\implies 12\quad \checkmark
\\\\\\
\sqrt{225}\implies 15\quad \checkmark
\\\\\\
\sqrt{240}\implies 15.49[/tex]
5)
check the 1st picture below.
thus
[tex]\bf base\implies \cfrac{1}{4}=x\cdot x\implies \cfrac{1}{4}=x^2\implies \sqrt{\cfrac{1}{4}}=x\implies \cfrac{\sqrt{1}}{\sqrt{4}}=x
\\\\\\
\boxed{\cfrac{1}{2}=x}\qquad \qquad V=x^3\implies V=\left( \cfrac{1}{2} \right)^3\implies V=\cfrac{1^3}{2^3}\implies \boxed{V=\cfrac{1}{8}}[/tex]
6)
check the 2nd picture below
[tex]\bf 233=x^2+64\implies 233-64=x^2\implies 169=x^2\implies \sqrt{169}=x
\\\\\\
\boxed{13=x}\qquad \qquad railing\implies x+x+(x+8)+8+8+\stackrel{\textit{little corner}}{(x-8)}[/tex]
