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dsp73
3 years ago
14

Write an counter example for the statement: all square roots are rational numbers

Mathematics
2 answers:
krok68 [10]3 years ago
5 0
That is not true. For example, if you take PI . Rounded is 3.14. But if you were to do the square root of pi then it would be an IRRATIONAL number. so it's false. <span />
olga_2 [115]3 years ago
3 0
It's false because if you take the square root of a decimal number or a complex number, you're sure to find an irrational number.
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Step-by-step explanation:

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Match the average rates of change of f(x) to the corresponding intervals.
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The average rates of change of f(x) and their corresponding intervals are given as:

Interval          Rate of Change

[-5, -1]                 -8

[-4, -1]                 -7

[-3, 1]                  -4

[-2, 1]                  -3.

<h3>What is the explanation for the above?
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Step 1 - See Table Attached

Step 2 - State the formula for rate of change

The formula for rate of change is given as:
= [change in f(x)] / [change in x]

a) For interval [5, -1] ⇒

Rate of Change - [ f(1) - f(-5) ] / [-1 - (-5)]  

= [-1 - 35] / [-1+5]

= -36 / 4

= - 8

b) For interval [-4, -1] ⇒

rate of change = [ f(-1) - f(-4) ] / [ -1 - (-4) ]

= [3 - 24] / [-1 + 4]

= -21/3

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c) interval [-3,1] ⇒

rate of change = [ f(1) - f(-3) ] / [ 1 - (-3) ]

= [-1 - 15] / [1 + 3]

= -16/4

= - 4

d) interval [-2,1] ⇒

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= [ -1 - 8] / [1 + 2]

= -9/3

= -3

Learn more about rate of change at:
brainly.com/question/25184007
#SPJ1

Download xlsx
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2 years ago
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Let a be a non-zero rational number and be an irrational number. Is a/b rational or irrational?
vodka [1.7K]

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Step-by-step explanation:

You didnt state what "b" is, but:

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