Question

The length of one side of a square can be determined by square rooting the area. Suppose the area of a square picture frame is represented by 867v21. Determine the exact length of one side of the picture frame.
a. 3 times v to power of 10 times the square root of the quantity 17 times v
b. 3 times v to power of 20 times the square root of the quantity 17 times v
c. 17 times v to power of 10 times the square root of the quantity 3 times v
d. 17 times v to power of 20 times the square root of the quantity 3 times v



so this just sounds like a forging langue to me

Answer 1

you need to factor 867 first, can you ?
for the v term, you'll need
\(\large \sqrt{x^2}=x\quad \sqrt{x^{2n+1}}=\sqrt{x^{2n}}\times \sqrt x=x^n\sqrt x\)

Answer 2

\(\bf \textit{length of one side of a square can be determined by square rooting the area}
\\ \quad \\
Area = side\cdot side\implies side^2\qquad taking\quad \sqrt{\qquad }
\\ \quad \\
Area = side^2\implies \sqrt{Area}=\sqrt{side^2}\implies \sqrt{Area}=side
\\ \quad \\
\textit{Suppose the area of a square picture frame is represented by 867v21}
\\ \quad \\
867v21=side^2\implies \sqrt{867v21}=\sqrt{side^2}\implies \sqrt{867v21}=side\)