The expanded and simplified answer is 55 + 14√6.
How to find the simplified form of an expression?
The simplified form can be found by carrying out mathematical operations that are pending in the expression. Like the addition, subtraction, multiplication, or division of any number in the expression.
The given expression is expanded and simplified:
Given: (7 + √6)^(2)
First, we have to square the expression and expand it.
(a + b)^2 = a^2 +2ab b^2
Similarly we can open the brackets of the given expression:
(7 + √6)^(2) = 49 + 2*7*√6 + 6
= 55 + 14√6
This is similar to the format b+c√6. Here b would be 55 and c would be 14. The given expression was expanded and written in the form of b+c√6.
Therefore, we have expanded and simplified the given expression as 55 + 14√6.
Learn more about the simplified form here: https://brainly.com/question/1698314
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