Given S = 136, estimate the following

√136 using the sandwich method

##### Find the highest perfect square < 136

For n = 1, we have 1^{2} = 1

For n = 2, we have 2^{2} = 4

For n = 3, we have 3^{2} = 9

For n = 4, we have 4^{2} = 16

For n = 5, we have 5^{2} = 25

For n = 6, we have 6^{2} = 36

For n = 7, we have 7^{2} = 49

For n = 8, we have 8^{2} = 64

For n = 9, we have 9^{2} = 81

For n = 10, we have 10^{2} = 100

For n = 11, we have 11^{2} = 121

For n = 12, we have 12^{2} = 144

Since 12^{2} = 144 > 136:

we use as our right endpoint.

Now, we find the low end number

(12 - 1)^{2} = 11^{2} = 121

Therefore, √136 is between 11 and 12

**11 < √136 < 12**

##### How does the Estimate Square Roots Calculator work?

Free Estimate Square Roots Calculator - Estimates the square root of a number

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### What 2 formulas are used for the Estimate Square Roots Calculator?

Take √n

Find n such that (n - 1)

^{2} < n

^{2} < (n + 1)

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### What 5 concepts are covered in the Estimate Square Roots Calculator?

- estimate
- an approximate calculation or judgment of the value, number, quantity
- exponent
- The power to raise a number
- fraction
- how many parts of a certain size exist

a/b where a is the numerator and b is the denominator - power
- how many times to use the number in a multiplication
- square root
- a factor of a number that, when multiplied by itself, gives the original number

√x

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