Question

Between which two integers does square root of 26 lie?

A.
3 and 4

B.
5 and 6

C.
12 and 14

D.
25 and 27

Answer 1

do you know how to do this @LegendarySadist

Answer 2

one sec ill be back

Answer 3

@phi

Answer 4

to answer, first list the perfect squares "near" 26
can you do that ?

Answer 5

um yeah 3 and 8 i believe

Answer 6

or 5

Answer 7

2,7,and one other

Answer 8

is that right @phi

Answer 9

do you know how to list squares?
1*1 = 1
2*2= 4
3*3= 9
keep doing that until you get two numbers that "bracket" 26 (one below and the other above)

Answer 10

so do i have to get one that equals 26

Answer 11

keep listing the perfect squares

Answer 12

1*1=1
2*2=4
3*3=9
4*4=16
5*5=25
6*6=36

Answer 13

notice 5*5 is 25 (1 less than 26)
6*6 is 36 (much bigger than 26)

it looks like the number we want is a little bit bigger than 5

Answer 14

okay so like
7*7=49

Answer 15

oh do we need a smaller one than 26 to or were not that far yet

Answer 16

you want a number times itself gives 26
for example, 5.1 * 5.1 = 26.01 which is very close
the square root of 26 is very close to 5.1

Answer 17

okay so maybe like 5.0990

Answer 18

http://www.wolframalpha.com/input/?i=what+is+the+square+root+of+26
heres how i got that

Answer 19

it is hard to find the exact square root of 26
but we know the square root of 25 (it is 5) is too small
and the square root of 36 (=6) is too big
so the square root of 26 should be between 5 and 6
yes, 5.099 is a good guess, it gives 25.9998 which is 0.0002 too small.
in the old days before calculators, people played that game to figure out square roots

Answer 20

5.0990*5.0990 = 25.998 but if you round it to the nearest whole number it would =26

Answer 21

opps i forgot a 9 2.9998

Answer 22

yes. It depends how accurately you need to know the number, and that depends on the problem you are trying to solve. sometimes in engineering you need to be very accurate and sometimes less so. Depends on the problem

Answer 23

okay so do we know what the answer would be then cuz with what we did it might be B

Answer 24

yes, the square root of 26 is between 5 and 6
(as you just showed, the square root of 26 is very close to 5.099
and 5.099 is bigger than 5 and smaller than 6)

Answer 25

okay so it is b thanks for helping me

Answer 26

yw