Math, asked by kamalsri, 11 months ago

find 3 irrational numbers between 5 and 6 step by step explanation will get brainliest answer​

Answers

Answered by sampa17
0

Step-by-step explanation:

A rational number between 5 and 6 is 1/2 (5+6) = 11/2 then, 5 < 11/2 < 6

A rational number between 5 and 11/2

= 1/2 (5+11/2)

= 1/2 (5/1 + 11/2)

= 1/2 [(10+11)/2]

= (1/2 × 21/2) = 21/4

A rational number between 11/2 and 6

= 1/2 (11/2+6)

= 1/2 (11/2+6/1)

= 1/2 [(11+12)/2]

= (1/2 ×23/2) = 24/4

therefore, 5 < 21/4 < 11/2 < 24/4 < 6

hence, 21/4, 11/2 and 24/4 are the three rational numbers lying between 5 and 6.

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