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nexus9112 [7]
3 years ago
7

Find the three irrational numbers lying between 1) 1/4 and 5/4 ​

Mathematics
1 answer:
Annette [7]3 years ago
7 0

Answer:√(6/5) and √(9/7) and √(7/5)

Step-by-step explanation:

1/4 = 0.25

5/4 = 1.25

√(6/5)=1.095445...

√(9/7)=1.1338934...

√(7/5)=1.1832159...

Thus, any non-perfect square radicals will be irrational numbers.

Hope this helps!! :)

Please let me know if you have any question

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This also implies cos(u)=sqrt(0.84) since cosine is positive.

Plug in values:

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]

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tan(2u)=[(40)(sqrt(0.84)]/[34]

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tan(2u)=[(2)(2)sqrt(21)]/[17]

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