Sure! Let's break down the problem step by step to find the square root of [tex]\( \frac{2}{3} \)[/tex].
1. Determine the Fraction: First, we need to understand the fraction we are dealing with, which is [tex]\( \frac{2}{3} \)[/tex]. This can be expressed as a division: [tex]\[
\frac{2}{3} \approx 0.6666666666666666
\][/tex]
2. Calculate the Square Root: After determining the value of the fraction [tex]\( \frac{2}{3} \)[/tex], the next step is to find its square root. The square root of a number [tex]\( x \)[/tex] is a value that, when multiplied by itself, gives the number [tex]\( x \)[/tex].
Calculating the square root of [tex]\( 0.6666666666666666 \)[/tex]: [tex]\[
\sqrt{0.6666666666666666} \approx 0.816496580927726
\][/tex]
Thus, the square root of [tex]\( \frac{2}{3} \approx 0.816496580927726 \)[/tex].
