+1495 Help Me, please.
Simplify and Reduce these Radicals
{2-√3} / {2+√3}
(2-3^(1/2))/(2+3^(1/2)) or 2-3^1/2
2+3^1/2
3^1/2 cancels and you are left with 2/2 which equals one.
^ is the same thing as an exponent.
and to clarify 3^1/2, that is the same as saying the square root of 3.
+2446 It appears as if this question has been edited since the replies of other answerers. As of now, the expression to simplify is 2−√32+√3
| 2−√32+√3 | Radicals in the denominator are considered to be improper; it is required that all radical terms are moved to the numerator. This can be achieved by utilizing the conjugate of the denominator: 2−√3. |
| 2−√32+√3∗2−√32−√3 | To simplify the denominator, it is possible to use the algebraic rule that (a+b)(a−b)=a2−b2. Notice that this process does not change the inherent value of the expression since all I am doing is multiplying by 1, which has no effect. |
| (2−√3)222−√32 | By squaring the radical in the denominator, we are getting rid of a radical's existence from the denominator. |
| (2−√3)24−3 | Well, it is very clear at this point that the denominator simplifies to 1. Expand the numerator using the rule that (a−b)2=a2−2ab+b2 |
| 22−2∗2∗√3+√32 | Simplify. |
| 4−4√3+3 | |
| 7−4√3 | This is what OfficialBubbleTanks got. |
