Question

how do you do square roots with imperfect square

Answer 1

non perfect square?

Answer 2

do you have an example?

Answer 3

how would we do this?

Answer 4

since 43 is a prime number there is no way to simplify as the only factors are 1 and 43

Answer 5

so \[\sqrt{43}\] is as simplified as it can be

Answer 6

so its 43

Answer 7

oh ok

Answer 8

what happens my teacher says find the square of the number to the nearest hundredths

Answer 9

okay are you allow to use the calculator for this?

Answer 10

not this number

Answer 11

YES :D

Answer 12

Haha, my first instinct is to tell you to use the calculator, but I realised this isn't the best answer. Umm, you can try to reduce the number into factors that can be 'square-rooted,' factors like 4, 9, 49 etc. Then you will have to leave the answer in its most simplified form. For example, the number 108 can be split into 3 x 4 x 9, where 4 and 9 can be 'square-rooted', so you will have to leave the final answer (for the 108 question) as 6 (square root sign)3.

I think this should be the most common way to do it, but I'm not sure whether it is the best. Anyone have a better suggestion please also post it up. Thanks :D

Answer 13

So it will be 6.56 for sqrt(43)

Answer 14

can you explain me with decimals place

Answer 15

i agree with DHASHNI but if it's for prime sqrts or if you have simplified as far as it can go and it asks for the answer to the nearest hundredth then use the calculator

Answer 16

so the sqrt(43) is 6.557438..... and you want to round it to the nearest hundredth.

the hundredth is the second decimal spot. and because the number after it is a 7, the 5 needs to round up to a 6.

Answer 17

if the number is 5 or over round up, 4 or less round down

Answer 18

yeah if you are told to round to the nearest hundredths for square roots then you will be using calculator

Answer 19

you can estimate a non perfect square root by determining what two perfect squares it lies between.
sqrt(43) is a bit over half way between 6 squared (36) and 7 squared (49)

Answer 20

ok

Answer 21

so the anser is 6.56

Answer 22

the answer is 6.56 to nearest hundredths

Answer 23

yes

Answer 24

what about if it was tenths

Answer 25

zed will you explain with tenths

Answer 26

can you explain me the decimal system

Answer 27

sorry I was having dinner, the tenths are the first decimal place, the hundredths are the second, thousandths the third and so on ...

Answer 28

here's a worksheet to practice rounding

Answer 29

and here are the solutions to check your answers