Question

Using the ratio of perfect squares method, what is square root of 59 rounded to the nearest hundredth?



Do not use your calculator to answer this question. Use the ratio of perfect squares method.

Answer 1

7^2 = 49
8^2 = 64

Answer 2

can u explain?

Answer 3

difference = 64-49 = 15
and we need square root of 59
59-49 = 10

so estimate of sqrt 59 = 7 + (10/15)

Answer 4

we know the square root is between 7 and 8
and 59 is 10/15 of the difference between 49 and 64
so we use this fraction to add to the lower square root which is 7

Answer 5

= 7.67

Answer 6

which is quite close to value on the calculator (7.68)

Answer 7

ohhh okay sorry im not good at math

Answer 8

thats ok
this is a learning website

Answer 9

so 7.67 is the answer

Answer 10

we pick out perfect squares either side of the number
so if we required the square root of 29 we would use 5^2 = 25 and 6^2 = 36

Answer 11

7,67 is the answer

Answer 12

thanks :-)

Answer 13

yw