3 years ago

The square root 5 lies between which two whole numbers

Mathematics

2 answers:

marshall27 [118]3 years ago

8 0

Answer:

2 and 3

Step-by-step explanation:

Wewaii [24]3 years ago

7 0

The square root of 5 is = 2.236

so it lies between 2 and 3

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2 years ago

28 is 9 less than twice a number

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2 years ago

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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 $\text{gcd}(a,b)=1$ .

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

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$(7k)^2=7b^2\\\\49k^2=7b^2\\\\7k^2=b^2$

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.

8 0

2 years ago

Show different ways to make 25,302<br>

ozzi

20,000 + 5,000 + 300 + 2 = 25302
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2 years ago