3 years ago

Is -2 + √3 rational or irrational?explain why.

Mathematics

1 answer:

andrey2020 [161]3 years ago

3 0

Answer:

It is irrational

Step-by-step explanation:

Let us assume that 2+√3 is a rational number.

A rational number can be written in the form of p/q.

2+√3=p/q

√3=p/q-2

√3=(p-2q)/q

p,q are integers then (p-2q)/q is a rational number.

But this contradicts the fact that √3 is an irrational number.

So, our assumption is false.

Therefore,2+√3 is an irrational number.

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which of the following would be neither perpendicular nor parallel to the following equation. y=3x-7. equations: y=-1/3x-7, y=-1

UkoKoshka [18]

Answer:

y=1/3x+6

Step-by-step explanation:

Equations parallel to each other have the same slope so that rules out the fourth answer. Perpendicular equations have opposite and reciprocal slopes, which in this case would be $\frac{-1}{3}$ , which rules out all of the others except for the third option.