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Nesterboy [21]
3 years ago
5

Prove that 1/√2 is irrational

Mathematics
1 answer:
cestrela7 [59]3 years ago
7 0

Answer:

Step-by-step explanation:

  • Let's assume that it is rational , so this number can be represented as

\Large \boldsymbol{}\bf \dfrac{p^{^/is \  an \  integer}}{q^{ / natural}} -irreducible   \  \ fraction

<h3>\Large \boldsymbol{}\bf \dfrac{1 ^{/ an  \ integer }}{\sqrt{2}^{ / not  \ \ integer } }  -Since the denominator is not a natural number then the  1/√2   is respectively an irrational number</h3>

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Bernie had $30 in his bank account. Today, he withdrew d dollars but tomorrow he will
IgorC [24]

Answer:

Step-by-step explanation:

Bernie had $30 in his bank account.

Today he withdrew $d

Now he has = $30 — $d

Because from $30 he took away $d that’s why $d have to subtract from the $30.

Tomorrow he’ll deposit $15 and that will be added up with current balance $30 —$d.

So, the expression to represent how much money Bernie will have in his bank account is $30 —$d + 15

5 0
3 years ago
to find the area of a trapezoid dylan uses the formula A=1/2 (B1+B2)h the bases have lengths of 3.6 cm and 12 1/3 cm. the height
Artemon [7]

Answer:

It is irrational because it can not be represented as a fraction of two integers

Step-by-step explanation:

Given

B_1 = 3.6

B_2 = 12\frac{1}{3}

H = \sqrt[3]5

Required

Why is the area irrational?

First, we need to calculate the area

Area = \frac{1}{2}(B_1 + B_2) * H

Area = \frac{1}{2}(3.6 + 12\frac{1}{3}) * \sqrt[3]5

Area = \frac{1}{2}(3.6 + \frac{37}{3}) * 17100

Area = \frac{1}{2}(\frac{10.8+37}{3}) * 1.710

Area = \frac{1}{2}(\frac{47.8}{3}) * 1.7100

Area = \frac{47.8}{6} * 1.7100

Area = \frac{47.8* 1.7100}{6}

Area = \frac{81.738}{6}

Area = 13.623

<em>It is irrational because it can not be represented as a fraction of two integers</em>

5 0
2 years ago
If n = 3, what is the value of 2-n?<br> A 0.125<br> B 0.1667<br> C-6<br> D 8
antiseptic1488 [7]

Answer:

A... .................. ....

4 0
3 years ago
Find the 72nd term of the arithmetic sequence -27, -11, 5, ...
MAXImum [283]

Step-by-step explanation:

first identify the common difference

The first term which i will define by u⁰=-27

u¹=u⁰+(1)d where d is the common difference and u¹ is the second term

u¹=-27+d

-11=-27+d

d=27-11=16

The 72nd term would be u⁷¹ since we started from u⁰ as our first term:

Use the explicit relation given by:

u(n)=u⁰+(n)d

u(71)=-27+71(d)

u⁷¹=-27+71(16)

u⁷¹=-27+1136

u⁷¹=1109

8 0
3 years ago
Can a rational number be subtracted by a irrational number an equal a rational number?
vladimir2022 [97]

Answer:

No

Step-by-step explanation:

The sum of a rational number and an irrational number is irrational.

4 0
3 years ago
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