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RSB [31]
3 years ago
10

Pleaseeee help !!!!!!!!!!!!!!!!!!!!!!!!!!! I don’t understand

Mathematics
1 answer:
mafiozo [28]3 years ago
6 0

Answer:

None

Step-by-step explanation: Where is the question?

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Prove that under root 2 is a irrational number​
torisob [31]

Answer:

Let's suppose √2 is a rational number. Then we can write it √2  = a/b where a, b are whole numbers, b not zero.

We additionally assume that this a/b is simplified to lowest terms, since that can obviously be done with any fraction. Notice that in order for a/b to be in simplest terms, both of a and b cannot be even. One or both must be odd. Otherwise, we could simplify a/b further.

From the equality √2  = a/b it follows that 2 = a2/b2,  or  a2 = 2 · b2.  So the square of a is an even number since it is two times something.

From this we know that a itself is also an even number. Why? Because it can't be odd; if a itself was odd, then a · a would be odd too. Odd number times odd number is always odd. Check it if you don't believe me!

Okay, if a itself is an even number, then a is 2 times some other whole number. In symbols, a = 2k where k is this other number. We don't need to know what k is; it won't matter. Soon comes the contradiction.

If we substitute a = 2k into the original equation 2 = a2/b2, this is what we get:

2=(2k)2/b22=4k2/b22*b2=4k2b2=2k2

This means that b2 is even, from which follows again that b itself is even. And that is a contradiction!!!

WHY is that a contradiction? Because we started the whole process assuming that a/b was simplified to lowest terms, and now it turns out that a and b both would be even. We ended at a contradiction; thus our original assumption (that √2 is rational) is not correct. Therefore √2 cannot be rational.

(I copied this from the internet, but hope it helps!)

4 0
3 years ago
Read 2 more answers
Original volume: 169 3/4 cubic inches What is the volume of the box if it is scaled down by a factor of 1/10?
kirza4 [7]

Answer:

\10 of its starting number

ω⇒ ∧

      ∨       i am very good at this

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Help I’ll give brainliest
umka21 [38]
I’m not quite sure but I think it could be c. 768
7 0
2 years ago
Which of the following correctly expresses the number 65.824?
JulijaS [17]

The expression of the decimal number 65.8246 in word form is; tens + 5 ones + 8 tenths + 2 hundredths + 4 thousandths​

<h3>How to express decimal numbers?</h3>

A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.

Now, we are given the decimal number 65.824 to write in words. This can be written as;

6 tens + 5 ones + 8 tenths + 2 hundredths + 4 thousandths​

The reason for the above is that we can rewrite the given decimal in fraction form as;

60 + 5 + 8/10 + 2/100 + 4/1000

Read more about decimal expressions at; brainly.com/question/20053870

#SPJ1

4 0
2 years ago
10 points lol 6th grade math coordinate points
mart [117]

i think it is the last one


5 0
3 years ago
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