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Estimate Square Roots
● Also called find square root without a calculator
● Quick and dirty way to find an estimate (approximation) or
a square root
● Find goalposts, or endpoints
● High Endpoint (h)
● Low Endpoint (l)
● Square Root is between l and h
1
Estimate Square Root Steps
● Estimate the square root of a number (n)
● Start at 1 and keep squaring integers.
● 12 = 1, 22 = 4, 32 = 9, ...
● Once the square of your integer is greater than n, Stop
● This is your high value, call it h.
● Take the last squared integer before h, this is your low
value, call it l
● l < ⺁n < h
2
Estimate Square Root Example
● Estimate the square root of 40
● Start at 1 and keep squaring integers
● 12 = 1, 22 = 4, 32 = 9, 42 = 16, 52 = 25, 62 = 36, 72 = 49
● 49 is your high value, call it h.
● 36 is our l value
● 36 < ⺁40 < 49
3
Estimate Square Root Calculator
https://www.mathcelebrity.com/calculator.php
Estimate Square Root for 40
Estimate the sqrt for 50
4

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Estimate Square Root Calculator

  • 1. Estimate Square Roots ● Also called find square root without a calculator ● Quick and dirty way to find an estimate (approximation) or a square root ● Find goalposts, or endpoints ● High Endpoint (h) ● Low Endpoint (l) ● Square Root is between l and h 1
  • 2. Estimate Square Root Steps ● Estimate the square root of a number (n) ● Start at 1 and keep squaring integers. ● 12 = 1, 22 = 4, 32 = 9, ... ● Once the square of your integer is greater than n, Stop ● This is your high value, call it h. ● Take the last squared integer before h, this is your low value, call it l ● l < ⺁n < h 2
  • 3. Estimate Square Root Example ● Estimate the square root of 40 ● Start at 1 and keep squaring integers ● 12 = 1, 22 = 4, 32 = 9, 42 = 16, 52 = 25, 62 = 36, 72 = 49 ● 49 is your high value, call it h. ● 36 is our l value ● 36 < ⺁40 < 49 3
  • 4. Estimate Square Root Calculator https://www.mathcelebrity.com/calculator.php Estimate Square Root for 40 Estimate the sqrt for 50 4