Question

Given that √(5-2(√6))=√a-√b, find the values of 'a' and 'b'

Answer 1

\[\sqrt{5-2\sqrt{6}}=\sqrt{a}-\sqrt{b}\]

Answer 2

try squaring both sides

Answer 3

I am not quite sure if I am doing this right
\[5-2\sqrt{6}=(\sqrt{a}-\sqrt{b})^{2}\]
\[(\sqrt{a}-\sqrt{b})^{2}=(\sqrt{a}-\sqrt{b})(\sqrt{a}-\sqrt{b})\]
\[5-2\sqrt{6}=a-2\sqrt{ab}+b\]

Answer 4

yup looks good so far

Answer 5

oh so a+b=5 and a*b=6, solve for a and b

Answer 6

exactly

Answer 7

the a will be 3 and b will be 2

Answer 8

except only issue would be determining which one is a and which one is b

Answer 9

oh, ya

Answer 10

oh wait
a= higher number

cant get a negative from a square root

Answer 11

ok, thank you so much!!!!