find 3 irrational numbers between 5 and 6 step by step explanation will get brainliest answer
Answers
Answered by
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.
Similar questions