which of these is a rational number?

A-√150
B-√441
C-√200
D-√250

thanks :)

Question

which of these is a rational number?

A-√150
B-√441
C-√200
D-√250

thanks :)

faiqraees · Answer

which number is a perfect square?

flygirlmandi · Answer

i dunno, no number times itself equals any of those that i know of. @FaiqRaees  can you please expose the sorcery of the answer and then of course explain it because im somewhat clueless

faiqraees · Answer

Okay can you prime factorize each number?

flygirlmandi · Answer

okay give me a second i gotta on paper lol

umerlodhi · Answer

$\huge\bf\rlap{\color{green}{hi~kiddos}}{\color{orange}{\;~}}$

flygirlmandi · Answer

hi
the prime factorization numbers for 441 is 3,3,7,7 . am i correct?

faiqraees · Answer

Yes. We now know that 441 = 3² x 7² right?

flygirlmandi · Answer

yes, also the numbers for 250 is 5,5,5, and  2

faiqraees · Answer

Yes, so 250 = 5³ x 2

flygirlmandi · Answer

yup and the numbers for 150 are 2,3,5, and 5 so 150=$$150= 2\times3\times 5^{2}$$

flygirlmandi · Answer

@FaiqRaees

faiqraees · Answer

Yes

flygirlmandi · Answer

so whatwas the point of that and also 200s numbers are 2,2,2,5,and 5

faiqraees · Answer

Okay so out of each number, whose factors were all in squared form?

flygirlmandi · Answer

oh 441

faiqraees · Answer

Yep 441 = 3² x 7² = (3x7)² = 21²

flygirlmandi · Answer

sooo

faiqraees · Answer

√441 = √21² = 21 which is a rational number

flygirlmandi · Answer

oh, okay now i feel retarded