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Why 65–√ is between 12 and 18.

User Binoy
by
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1 Answer

3 votes

Answer:

12 < 6√5 < 18

Explanation:

It has been given in the question 4 < 5 < 9 and we have to show 6√5 is between 12 and 18.

For box number 1.

4 < 5 < 9 ⇒ √4 < √5 < √9

For the box number 2.

√4 < √5 < √9 ⇒ 2 < √5 < 3

For the box number 3.

we multiply the inequality by 6.

6×(2 < √5 < 3) ⇒ 6×2 < 6×√5 < 6×3

Therefore final answer is 6×2 < 6×√5 < 6×3 ⇒ 12 < 6√5 < 18

User Miguel Hernandez
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4.5k points