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

  a) 5, 6

  b) 8, 9

  c) 9, 10

Step-by-step 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

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.