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2 years ago

Prove that 3+2√5 is irrational

Mathematics

1 answer:

timama [110]2 years ago

7 0

Step-by-step explanation:

To prove that 3 + 2√5 is an irrational number, we will use the contradiction method.

Let us assume that 3 + 2√5 is a rational number with p and q as co-prime integers and q ≠ 0

⇒ 3 + 2√5 = p/ q

⇒ 2√5 = p/ q - 3

⇒ √5 = (p - 3q ) / 2q

⇒ (p - 3q ) / 2 q is a rational number.

However, √5 is an irrational number

This leads to a contradiction that 3 + 2√5 is a rational number.

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Answer:
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m∠CFE = 132°

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Prove that 3+2√5 is irrational​

Prove that 3+2√5 is irrational