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3 years ago

8

What number can you multiply by √7 to get a rational number? (select each correct answer.)

2 answers:

PolarNik [594]3 years ago

5 0

Answers: Choice A, choice B, and choice C

Those two values, when multiplied by the given value, will lead to a rational number. If you pick choice A, then you get 7 as a result after multiplying. If you choose choice B, then you get -7

Note that
7 = 7/1
-7 = -7/1
So 7 and -7 are rational

Also, when multiplying 0 by any number, the result is always 0. The rule is 0*x = x*0 = 0
The value 0 is rational as 0 = 0/1

The only non-answer is choice D as 7*sqrt(7) can't be expressed as a ratio of two whole numbers.

gulaghasi [49]3 years ago

4 0

<span>A) √7 is the only option.</span>

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3 years ago

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Answer:

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Step-by-step explanation:

Option 1:

Using the following rule:

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Put in our expression,

a = 2

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Option 2:

Using the following rule:

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If we compare this with $a^n * a^m$ , we can see that

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Answer: $(2^3)^2 = 64$

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