4 years ago

Questions and answers are below aswell enjoy your day :)

Mathematics

1 answer:

Wittaler [7]4 years ago

5 0

Answer:

the answer is D just click on it man or lovely woman

Step-by-step explanation:

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1.5 as a mixed muber is 1 and 1/2, as an improper fraction it could be 3/2

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3 years ago

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3 years ago

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3 years ago

Prove that root 7 is irrational by the method of contradiction

Alchen [17]

Let assume that $\sqrt7$ is a rational number. Therefore it can be expressed as a fraction $\dfrac{a}{b}$ where $a,b\in\mathbb{Z}$ and $\text{gcd}(a,b)=1$ .

$\sqrt7=\dfrac{a}{b}\\\\7=\dfrac{a^2}{b^2}\\\\a^2=7b^2$

This means that $a^2$ is divisible by 7, and therefore also $a$ is divisible by 7.

So, $a=7k$ where $k\in\mathbb{Z}$

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Analogically to $a^2=7b^2$ ------- $b^2$ is divisible by 7 and therefore so is $b$ .

But if both numbers $a$ and $b$ are divisible by 7, then $\text{gcd}(a,b)=7$ which contradicts our earlier assumption that $\text{gcd}(a,b)=1$ .

Therefore $\sqrt7$ is an irrational number.

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3 years ago

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Its 7 because khan academy and i know it

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