Does anyone know what the square root of 450 simplifed as a surd is? I thought it was 15 square root 2 but i'm not very sure...
2007-05-31 10:14:18 · 4 answers · asked by angel_emmaclare 1 in Science & Mathematics ➔ Mathematics
450
= 9*5*10
= 3^2 * 5^2 * 2
Taking the square root, you obtain:
3 * 5 * sqrt (2)
= 15sqrt(2).
You are right.
2007-05-31 10:20:59 · answer #1 · answered by Anonymous · 0⤊ 0⤋
it's already a surd. a surd is just expressing a root using the square root symbol.
but simplifying it involves finding the largest square factor and extracting it.
450 = 2*3*3*5*5 so the largest square factor is 15*15=225
sqrt(450)=sqrt(225)sqrt(2)=15sqrt(2)
2007-05-31 10:22:29 · answer #2 · answered by holdm 7 · 0⤊ 0⤋
√450 = √(9 x 25 x 2)
√450 = 3 x 5 x √2
√450 = 15.√2 (which agrees with your answer)
2007-05-31 10:56:21 · answer #3 · answered by Como 7 · 0⤊ 0⤋
sqrt(450)
sqrt(10*5*9)
sqrt(2*5*5*3*3)
sqrt( 5^2 * 3^2 * 2)
5 * 3 sqrt(2)
15 sqrt(2)
You are correct, it is 15 sqrt(2)
2007-05-31 10:18:37 · answer #4 · answered by Alex 4 · 0⤊ 0⤋