Question

rationalize the denominator of 1 / 4 + root 5 ​

Answer 1

Answer:

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Answer 2

Answer:

• 4 - √5 / 11

Step-by-step explanation:

Given

• 1 / 4 + √ 5

To find

• To rationalize the denominator

Solution

We know:

• (a + √b) (a - √b) = a² - b

Multiply the numerator and denominator of 1 / 4 + √5 by 4 - √5

• 1 / 4 + √5 × 4 - √5 / 4 - √5
• 4 - √5 / 4² - √5²
• 4 - √5 / 16 - 5
• 4 - √5 / 11

The final answer:

• 4 - √5 / 11