Question

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 lager perfect square. i could then take the__________ root of the perfect squares to see how i would estimate square root 59. the root of 59 is closest to_________

Answer 1

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 (since $7^2=49$). The closest perfect square greater than 59 is 64 (since $8^2=64$). 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 roots of the perfect squares to see how I would estimate $\sqrt{59}$. The root of 59 is closest to 7.5 (because ${7.5}^2=56.25$, which is less than 59, and ${7.6}^2=57.76$, which is still less than 59, while ${7.7}^2=59.29$, which is greater than 59). Therefore, $\sqrt{59}$ is approximately between 7.7 and 7.8.

Answer 2

only answers are 7, 8 , 6 or 9