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Multiply the expression (fraction) by (6 + √5)/(6 + √5) (which is 1 and will not change its value).3/(6 - √5) x (6 + √5)/(6 + √5)= 3(6 + √5)/(6 - √5)(6 + √5)= 3(6 + √5)/(36-5) = 3(6 + √5)/31= 3/31(6 + √5)Remember:(a + b)(a - b) = a2 - ab + ab - b2= a2 - b2So if either a or b contains a square root, a2 and b2 will not, and so a2 - b2 will not!
The GCF is 1.
The GCF is 1.
3x2 + bx - 5 = 0 ∴ 3x2 + bx = 5 ∴ x2 + bx/3 = 5/3 ∴ x2 + bx/3 + (b/6)2 = 5/3 + (b/6)2 ∴ (x + b/6)2 = (45 + b2) / 36 ∴ x + b/6 = ±[(45 + b2) / 36]1/2 ∴ x = [-b ± (45 + b2)1/2] / 6
The greatest common factor of 2, 5, and 6 is 1.