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svp [43]
3 years ago
12

Can a rational number with rational exponent be irrational

Mathematics
1 answer:
bazaltina [42]3 years ago
4 0

Yes. In general, a rational number with a non-integer exponent is not assured of being rational. (Any prime with a non-integer exponent is irrational, for example.)

2^(1/2) is irrational

(9/25)^(3/2) is rational

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In Rhombus ABCD if BD is 24 ft and AD is 15 ft, then what is the length of AC?
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Answer:

AC = 24ft

Step by Step Explanation.

Given.

Rhombus.

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Required

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A rhombus has 4 equal sides; hence, the given shape will be regarded as a parallelogram and not rhombus (see attachment for diagram)

The opposite sides of a parallelogram are always of equal length

From the attached diagram (not drawn to scale), side AC opposites side BD

Given that BD = 24ft, then

AC = BD = 24ft.

Hence, AC = 24ft

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3 years ago
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