Answer:
Option C.
Option B.
Step-by-step explanation:
By definition, the square of a number is that number times itself.
The square root of a perfect square is a whole number.
Since the square root of another number (not perfect square) is not a whole number, you can estimate it finding two perfect square roots that number is between.
1) Observe that 4 and 9 are perfect squares:
[tex]4=2^2\\9=3^2[/tex]
And 8 is between those numbers.
Therefore, the square roots [tex]\sqrt{4}[/tex] and [tex]\sqrt{9}[/tex] are used to estimage [tex]\sqrt{8}[/tex]
2) Notice 36 and 49 are perfect squares:
[tex]36=6^2\\49=7^2[/tex]
And 42 is between those numbers.
Therefore, the square roots [tex]\sqrt{36}[/tex] and [tex]\sqrt{49}[/tex] are used to estimage [tex]\sqrt{42}[/tex]
