Question

Which number is an irrational number?

A. The Square root of 121

B. The Square root of 150

C. The Square root of 400

D. The Square root of 1,000,000


Pls help I'm really bad at math

Answer 1

3 of those numbers are perfect squares
eg 121 = 11*11

find the other 2 then the other one will be the irrational number

Answer 2

I don't understand square roots that much. Like I said I'm pretty bad at math. Can you explain to me?

Answer 3

@welshfella

Answer 4

ok take 100 the square root is 10 because 10*10 = 100

the square root of 64 is 8 because 8*8 = 64

400 is likely to have a rational square root - what do you think it is ?

Answer 5

400 ends in 0 so its square root would end in 0

Answer 6

Is it 20?

Answer 7

right

Answer 8

now 1,000,000 is another candidate for being a perfect square

the square root is 1 and how many zeros?

Answer 9

3?

Answer 10

right 1000*1000 = 1000000

Answer 11

So the answer would be B?

Answer 12

that leaves 150 which has an irrational square root

Answer 13

yes

Answer 14

Thank you so much can you help me with one more?

Answer 15

if you factor 150 it comes to
2 * 3*5*5
= 6*25

now square root of 25 is 5 so we can write square root of 150 as 5*sqrt6

now sqrt6 is irrational ( its a decimal that never ends)

so sqrt 150 is irrational

Answer 16

sorry gotta go right now

Answer 17

Oh Ok. Thanks for helping me though I really appreciate it! :)

Answer 18

yw