Find two irrational number between 4 and √21

Asked by vkchandra90 | 9th Jul, 2020, 10:45: AM

Expert Answer:

To find two irrational numbers between 4 and √21
W e space k n o w space 4 equals square root of 16
T h i s space m e a n s space w e space n e e d space t o space f i n d space t h e space i r r a t i o n a l space n u m b e r s space b e t w e e n space square root of 16 space a n d space square root of 21
T h e space n u m b e r s space b e t w e e n space 16 space a n d space 21 space t h a t space a r e space n o n minus p e r f e c t space s q u a r e space a r e space 17 comma space 18 comma space 19 comma space 20
S o comma space t h e space i r r a t i o n a l space n u m b e r s space b e t w e e n space square root of 16 space a n d space square root of 21 space a r e space square root of 17 comma space square root of 18 comma space square root of 19 space a n d space square root of 20
N o w comma space square root of 18 equals 3 square root of 2 space a n d space square root of 20 equals 2 square root of 5
T h u s comma space t h e space 2 space i r r a t i o n a l space n u m b e r s space b e t w e e n space 4 space a n d space square root of 21 space c o u l d space b e space a n y space 2 space o u t space o f space square root of 17 comma space 3 square root of 2 comma space square root of 19 space a n d space 2 square root of 5

Answered by Renu Varma | 9th Jul, 2020, 11:42: AM