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Tcecarenko [31]
3 years ago
14

Is 1, 15/8, 17/8 a Pythagorean triple? Explain

Mathematics
1 answer:
KatRina [158]3 years ago
5 0

Answer:

Step-by-step explanation:

if they are Pythagorean triples they should check for the theorem

the biggest value 17/8 should be the hypothenuse

(17/8)² = 1² + (15/8)² ; square the numbers

289/ 64 = 1+ 225/ 64 ; find the common denominator for addition

289/ 64 = 64+ 225/ 64 ; add

289/ 64 = 289 /64 TRUE so they are Pythagorean Triples

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Zinaida [17]

The irrational numbers are: √8, √10 and √15

Step-by-step explanation:

A rational number is a number that can be written in the form p/q where p&q are integers and q≠0.

"All the numbers whose square root is not a whole number and has an infinite number of digits after decimal, are irrational numbers"

So in the given options

\sqrt{4} = 2

Which can be written in the required form so √4 is a rational number

\sqrt{8}=2.828427124746190097603.....

√8 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

\sqrt{10}=3.16227766016837933....

√10 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

\sqrt{15}=3.87298334620.....

√15 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

\sqrt{36} = 6

Which can be written in the required form so √36 is a rational number

Hence,

The irrational numbers are: √8, √10 and √15

Keywords: Rational numbers, Irrational numbers

Learn more about rational numbers at:

  • brainly.com/question/3375830
  • brainly.com/question/3398261

#LearnwithBrainly

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