# SOLUTION: How can you factor this expression: (1-square root of 2+square root of 5)(1+square root of 2-square root of 5)

Algebra ->  Algebra  -> Radicals -> SOLUTION: How can you factor this expression: (1-square root of 2+square root of 5)(1+square root of 2-square root of 5)      Log On

 Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Algebra: Radicals -- complicated equations involving roots Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Radicals Question 48669: How can you factor this expression: (1-square root of 2+square root of 5)(1+square root of 2-square root of 5)Answer by stanbon(57384)   (Show Source): You can put this solution on YOUR website!(1-square root of 2+square root of 5)(1+square root of 2-square root of 5) (1 - (sqrt2 - sqrt5))(1 + (sqrt2 - sqrt5)) This is the form (a-b)(a+b) which gives the form a^2-b^2 = 1-(sqrt2-sqrt5)^2 =1-[2-2sqrt10+5] =1-7+2sqrt10 =-6+2sqrt10 Cheers, Stan H.