If you have in brackets (negative square root of 3 minus square...?

Question

negative square root of three minus square root of three all squared...why is it 12???? How do you add 2 square roots? would it be square root of 6 then squared? but in that case it would come out as 6...right???

Answer 1

-sqrt 3 - sqrt 3 = -2 * sqrt 3

Squaring this is 4 * 3 = 12

Answer 2

Maths is easier if you don't think too much or try to understand, just follow the rules. It makes sense in the end. What you have, in symbolic terms, is (-a - a)^2. That is the same as (-2a)^2, which is the same as (-2^2)(a^2), or 4a^2. If a is the square root of 3, then 4a^2 is 4.3, which is 12. There is no simple way to add two square roots, by the way, and in particular sqrt(a+b) is not sqrt(a) + sqrt(b), any more than (a+b)^2 is a^2 + b^2. But, multiplying is OK, so sqrt(a)sqrt(b) is the same as sqrt(ab), just as (ab)^2 is the same as (a^2)(b^2).

Answer 3

negative root of three minus negative root of three mathematically means the negative of ( root three plus another root three). it is two times root three with a negative sign.now square it .the negative sign becomes positive on squaring,the two becomes four ,root three becomes three. so four multiplied by three gives twelve