CPM Homework Help : MC2 Problem 11-101

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11-101.

Estimate each square root below to the nearest tenth. Then check your estimate on your calculator. Be sure to write down your estimate before you check!

$\sqrt { 45 }$
Hint (a):
The squares of what integers are near $45$ ?
Help (a):
The square of $6$ is $36$ , and the square of $7$ is $49$ . The answer must be between $6$ and $7$ .
Answer (a):
When you use your calculator to check, you find that the answer is approximately $6.7$ .

$\sqrt { 260 }$
Hint (b):
See part (a).
More (b):
$...12^{2} = 144$
$13^{2} = 169$
$14^{2} = 196$
$15^{2} = 225$
$16^{2} = 256$
$17^{2} = 289...$
The answer must be between $16$ and $17$ .
Answer (b):
$16.1$

$\sqrt { 650 }$
Hint (c):
See part (a) and (b).
Answer (c):
$25.5$

$\sqrt { 57 }$
Hint (d):
See part (a) and (b).

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