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The given three numbers are 5,8,24.
We have to use four operations (Adding, Subtracting,multiplication, division, square, square root, cube, cube root) out of these operation to make the result an irrational number.
There are many more examples that you can write.
Keep in mind
1. Sum of Rational and irrational is always irrational.
2. Difference of rational and irrational is always irrational.
As none of the 5,8,24 is a perfect square , nor addition of any two results in a perfect square, so square root of their addition or subtraction or multiplication results in an irrational number.
Similarly ,apart from 8, none of 5,24 is a perfect cube.So if you add or subtract any number from 8 and take their cube root or square root ,results in an irrational number.
Answer:
(C)4
Step-by-step explanation:
Given the line:
The gradient of the line,
A line perpendicular to the given line will have a gradient, (by definition of perpendicularity).
Therefore, a perpendicular line that passes through the point (4,1) is:
Comparing with the slope-intercept form y=mx+x, the slope of the perpendicular line, b=4.
Answer:
And replacing we got:
Step-by-step explanation:
We can define the random variable X as the thickness of a protective coating applied to a conductor designed to work in corrosive conditions. And the distribution for X is given by:
And we want to find this probability:
And in order to find this probability we can use the cumulative distribution function given by:
And if we use this formula for the probability desired we have:
And replacing we got: