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Strike441 [17]
2 years ago
6

The product of an irrational number and an irrational number is irrational?

Mathematics
1 answer:
aniked [119]2 years ago
5 0
<h3>hello!</h3>

========================================

is the product of an irrational number and an irrational number always irrational?

We can easily check that by just multiplying some irrational numbers on our calculator.

Let's take

\pmb{\sqrt{2} } times \pmb{\sqrt{5} }

Multiply:-

The result is an irrational number.

Let's try to multiply π times itself.

Once again, we have an \pmb{irrational} number.

Hence, the answer is:-

\pmb{Always~True}

=========================================

<h3>note:-</h3>
  • Hope everything is clear; if you need any more explanation, kindly let me know.

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There are 8 tennis players in a round robin tournament, which means each team will play every other team once. How many matches
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<h3>Answer:  28</h3>

==========================================================

Explanation:

Method 1

Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.

There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.

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Method 2

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Method 3

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There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).

Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.

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