Question

(√3+√75)*(√3-√75)+√75/√3

Answer 1

(√3+√75)*(√3-√75)+√75/√3=(√3)²-(√75)²+√(75/3)=3-75+√25=-72+5=-68

Answer 2

To simplify the given expression, let's first tackle each part separately:

1. (√3 + √75) * (√3 - √75) To simplify this, we can use the difference of squares formula: (a + b)(a - b) = a^2 - b^2.

   So, in this case, a = √3 and b = √75: (√3 + √75) * (√3 - √75) = (√3)^2 - (√75)^2 = 3 - 75 = -72.

2. √75 / √3 To simplify this, we can rationalize the denominator by multiplying both the numerator and denominator by √3:

   √75 / √3 = (√75 * √3) / (√3 * √3) = √(75 * 3) / 3 = √225 / 3 = 15 / 3 = 5.

Now, let's put the simplified values back into the original expression:

(√3 + √75) * (√3 - √75) + √75 / √3 = -72 + 5 = -67.

So, the simplified result of the expression is -67.