Answer:
Explanation:
√9=3
√16=4
subtracting 1
√9 -1=3-1=2
√(16) -1=4-1=3
so √13-1 lies between 2 and 3
so 2<√13-1<3
2.
∛40≈3.42
3^3=27
4^3=64
as 27<40<64
∛27-1<∛40-1<∛64-1
or 3-1<∛40-1<4-1
or 2<∛40-1<3
3.
2³=8
3³=27
so ∛8<∛25<∛27
2+2<∛25+2<3+2
4<∛25+2<5
4.
10²=100
11²=121
111 lies between 100 and 121
√100-4<√111-4<√121-4
10-4<√111-4<11-4
6<√111-4<7
5.
109 lies between 100 and 121
√100<√109<√121
10-1<√109-1<11-1
9<√109-1<10
6.
5²=25
6²=36
30 lies between 25 and 36
√25+5<√30+5<√36+5
5+5<√30+5<6+5
10<√30+5<11
4<√30-1<5