The reciprocal of 3 is _________.
Given a = 6 + √3 ⇒ (1/a) = 1 / (6 + √3) Multiply and divide by (6 − √3) ⇒ (1/a) = (6− √3) / [(6 + √3)(6 − √3)] ⇒ (1/a) = (6 − √3) / [36 − 3] ⇒ (1/a) = (6− √3)/33 ∴ a - (1/a) = (6 + √3) -(6 − √3)/33 = [33(6 + √3) - (6 - √3)]/33 = [32*6 + 34*√3]/33 = [192 + 34√3]/33 Answer : [192 + 34√3]/33
Why does 1/a come above
The reciprocal of 13 is ____. [Enter a numerical value]
The reciprocal of 13 is ___ . [Enter a numerical value]