Question

R 3.5
Mellom hvilke to hele tall ligger kvadratroten til
a) 35
b) 67
c) 93

Answer 1

a) 5, 6

b) 8, 9

c) 9, 10

Explanation:

It is useful to know the squares of small integers:

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

Then the problem becomes one of identifying the perfect squares the given number lies between

a) 25 < 35 < 36 ⇒ 5 < √35 < 6

b) 64 < 67 < 81 ⇒ 8 < √67 < 9

c) 81 < 93 < 100 ⇒ 9 < √93 < 10