20 points, please help (2√(5) + 3√(7) )^2 Simplify. Show your work. Justify each step.

Question

20 points, please help


`(2√(5) + 3√(7) )^2`

Simplify. Show your work. Justify each step.

Answer 1

The answer to your question is: 83 + 6
`√(35)`

Explanation:

This is a square of a binomial.

(2
`√(5)` + 3
`√(7) )^(2)`

1.- Square of the first term

( 2
`√(5) )^(2)` = 4(5) = 20

2.- Twice the product of the two terms

(2)(2
`√(5) )`(3
`√(7) )` = 6
`√(35)`

3.- Square of the second term

(3
`√(7)))^(2)` = 9(7) = 63

4.- Write the solution

20 + 6
`√(35)` + 63

83 + 6
`√(35)`