fill in the blanks.
if I wanted to estimate sqrt(59), at the first step would be to find the two _ squares that 59 lies _ on the number line. The closest perfect square less than 59 is _. The closest perfect square greater than 59 is _. I could then think about the number 59 and how close it is to the smaller perfect square and the larger perfect square. I could then take the _ root of the perfect squares to see how I would sqrt(59). The sqrt(59) is closest to _.
Word bank:
8
non-perfect
perfect
square
49
cube
7
between
9
6
64
since 59-49 = 10
and 64-59 = 5
that √59 is closer to 8 than it is to 7.
In fact, √59 ≈ 7.68, which is closer to 8
I apologize for the mistake. You are correct. Since 59 is closer to 64 than it is to 49, the square root of 59 is closer to 8 than it is to 7.
In fact, √59 ≈ 7.68, which is closer to 8. Thank you for catching that error.
If I wanted to estimate sqrt(59), the first step would be to find the two perfect squares that 59 lies between on the number line. The closest perfect square less than 59 is 49. The closest perfect square greater than 59 is 64.
I could then think about the number 59 and how close it is to the smaller perfect square and the larger perfect square.
I could then take the square root of the perfect squares to see how I would sqrt(59). The sqrt(59) is closest to 7.