Question

what number can you multiply by √7 to get a rational number? (select each correct answer.)
A) √7
B) -√7
C) 0
D)7

Answer 1

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.

Answer 2

The number that you can multiply by √7 to get a rational number are √7, -√7 and 0

• A rational number is a number that is written in the form of a fraction, a whole number, a decimal that stops( e.g 1.25), or is a repeating decimal.

check all that applies:

A) √7

= √7 × √7

$= \sqrt{7 \times 7}$

$= √49$

= 7

B) -√7

$= - √7 × √7$

$= -√49$

= -7

C) 0

$= 0 × √7$

= 0

D)7

$= 7 × √7$

= 18.520259177452

Therefore, the number that you can multiply by √7 to get a rational number are √7, -√7 and 0

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