Question

Find the product of an expression and its conjugate. (Simplify your answer completely) 7+^3

Answer 1

EXPLANATION

Given the expression 7 + √3, the conjugate is as follows:

$\text{Conjugate: 7-}\sqrt[]{3}$$\text{Product:}(7+\sqrt[]{3})(7-\sqrt[]{3})=49-7\sqrt[]{3}+7\sqrt[]{3}-3=49-3=46$

Hence, the conjugate is 7 - √3 and the product 46.