2 years ago

What is

Mathematics

1 answer:

olganol [36]2 years ago

8 0

Answer:

What is

+2?

Alco

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2{ 3[9 + 4(7 -5) - 4]}

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2 years ago

Question number 8. Prove that 3 + √5 is an irrational number.

Marina86 [1]

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Let's assume the opposite of the statement i.e., 3 + √5 is a rational number.

$\\ \sf \: 3 + \sqrt{5} = \frac{a}{b} \\ \\ \qquad \: \tiny \sf{(where \: \: a \: \: and \: \: b \: \: are \: \: integers \: \: and \: \: b \: \neq \: 0)} \\$

$\\ \sf \: \sqrt{5} = \frac{a}{b} - 3 = \frac{a - 3b}{b} \\$

Since, a, b and 3 are integers. So,

$\\ \sf \: \frac{p - 3b}{b} \\ \\ \qquad \tiny \sf{ \: (is \: \: a \: \: rational \: \: number \:) } \\$

Here, it contradicts that √5 is an irrational number.

because of the wrong assumption that 3 + √5 is a rational number.

$\\$

Hence, 3 + √5 is an irrational number.

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3 years ago

Please help me for number 1 and number 3

azamat

The middle is 2 :D hope this helps

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3 years ago