3 years ago

If a is a rational number and B is an irrational number can the product of a and b be rational

Mathematics

1 answer:

MAXImum [283]3 years ago

5 0

Answer:

yes

Step-by-step explanation:

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Find the 75th term of the arithmetic sequence -1, 15, 31, ...−1,15,31,...

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Answer:

1183

Step-by-step explanation:

Common difference:

d = 31 - 15 = 16

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$a_n = a_1 + (n - 1)d$

Here, $a_1 = -1$

$a_{75} = -1 + (75 - 1)(16)$

$a_{75} = 1183$

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What is the square root of 1000/100000

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Remember that $\sqrt{\frac{x}{y} }= \frac{ \sqrt{x} }{ \sqrt{y} }$ so
$\sqrt{\frac{1000}{100000} }= \frac{ \sqrt{1000} }{ \sqrt{100000} }$
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$\frac{ \sqrt{1000} }{ \sqrt{100000} }$ = $\frac{ 10\sqrt{10} }{ 100\sqrt{10} } = \frac{10}{100} times \frac{ \sqrt{10} }{ \sqrt{10} } = \frac{10}{100} times 1= \frac{1}{10}$

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