SOLUTION: Can you please help me solve this radical? 4 / 1 + sqrt 3 . I have tried this fraction several times by multiplying the denominator and the numerator by 1

SOLUTION: Can you please help me solve this radical? 4 / 1 + sqrt 3 . I have tried this fraction several times by multiplying the denominator and the numerator by 1 - sqrt 3 but from there o

Question 480561: Can you please help me solve this radical? 4 / 1 + sqrt 3 . I have tried this fraction several times by multiplying the denominator and the numerator by 1 - sqrt 3 but from there on I don't know how I am supposed to multiply the numerator and denominator by the new fraction. I tried to cancel out the squareroot sign. The answer should not have a radical in the denominator. I know what the answer should be but i don't know how to get to the answer.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
you had the right idea.
if you multiply the numerator and denominator by (1-sqrt(3))/(1-sqrt(3)), the fraction remains the same and the denominator loses the square root sign.
your expression becomes:

when you multiply , the result is -2.
your expression becomes:

this can be simplified to:
which can be further simplified to:

you don't have to go any further than that.

RELATED QUESTIONS
Please, I have tried this one several times. Solve the equation {{{7+3t over 4 = -t over (answered by atif.muhammad)

Can you please help me to multiply radical equations with fractions? This is the... (answered by Alan3354,MathLover1)

I need help finding the third side of an isosceles right triangle. I gave been given the... (answered by stanbon)

please help me solve this 4 1/5 * 3/4 * 6 i have tried making improper fractions and... (answered by stanbon)

Can you please help me solve this radical equaqtion? {{{sqrt(x-1)+x=3}}} This problem... (answered by Edwin McCravy)

{{{ sqrt ( 7 )/sqrt ( 2 ) + sqrt ( 2 )/sqrt ( 7 ) }}} = ??? I have tried multiplying... (answered by rothauserc)

I saw this equation in another's question and I need help solving for x even though I... (answered by macston,josmiceli)

Please help me solve this. I have tried several times but I am missing something or doing (answered by Gogonati,mananth)

{{{10 sqrt (1/5) - sqrt (45) - 12 sqrt (5/9)}}} I have tried rationalizing the... (answered by ankor@dixie-net.com,josgarithmetic)