If I wanted to estimate \( \sqrt{59} \), the first step would be to find the two 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 perfect squares to see how I would estimate \( \sqrt{59} \). The \( \sqrt{59} \) is closest to 8, as it lies between 7 (which is \( \sqrt{49} \)) and 8 (which is \( \sqrt{64} \)).
Fill in the blanks. (6 points)
If I wanted to estimate 59, 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
the perfect squares to see how I would estimate /59. The V59 is closest to
; root of
:: perfect
:: 49
:: 7
:: cube
:: non-perfect
:: between
:: 64
:: 8
:: square
:: 6
:: 9
1 answer