SOLUTION: Express {{{ 2+4sqrt6/3sqrt2-3 }}} in the form {{{p sqrt2+q sqrt3 }}} where p and q are rational numbers.

SOLUTION: Express {{{ 2+4sqrt6/3sqrt2-3 }}} in the form {{{p sqrt2+q sqrt3 }}} where p and q are rational numbers.

Algebra.Com

Question 984832: Express in the form where p and q are rational numbers.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

Say this better as 2+4*sqrt(6)/(3*sqrt(2))-3
rendered as .

, and not much more that can be done with the rational integer, ; you could put it as this for final requested form of the result:

RELATED QUESTIONS
Express 3x^2-2x+1 in the form 3(x+p)^2 +q where p and q are real... (answered by MathLover1)

Express sqrt3/ 6-sqrt3 in the form p+q(sqrt3) where p and q are rational I have this... (answered by Alan3354)

Express (7√(2)+3√(3))/(4√(2)-2√(3)) in the form p+q√r where p, q and r are... (answered by Alan3354)

The exact value of {{{cos(pi/7)+cos^2(pi/7)-2cos^3(pi/7)}}} is a rational number in the... (answered by Edwin McCravy)

help me solving this problem. write (2 sqrt( x)+3)/(x) in the form 2x^p + 3x^q where p... (answered by stanbon)

If y = x² - 5x + 3 is expressed in the form y = p(x + q)² + r, where p, q and r are... (answered by josgarithmetic)

If y = 2x² - 5x + 3 is expressed in the form y = p(x + q)² + r, where p, q and r are... (answered by josgarithmetic)

If y = 2x² - 5x + 3 is expressed in the form y = p(x + q)² + r, where p, q and r are... (answered by josgarithmetic,solver91311)

Derive an expression in the form p/q, where p and q are integers, for the recurring... (answered by rothauserc)