How to solve this problem? Steps please.
(2√5+3√7)^2
just like any other binomial.
(2√5+3√7)^2
= (2√5+3√7)(2√5+3√7)
= (2√5)^2 + 2(2√5)(3√7) + (3√7)^2
= 20 + 12√35 + 63
= 83 + 12√35
apply (a+b)^2=a^2+b^2+2ab
To solve the problem, (2√5+3√7)^2, you need to expand the expression using the binomial square formula.
Step 1: Identify the terms within the parentheses. In this case, we have 2√5 and 3√7, which are the terms.
Step 2: Apply the binomial square formula: (a + b)^2 = a^2 + 2ab + b^2. In our case, a is 2√5 and b is 3√7.
Step 3: Square each term. (2√5)^2 = 4(5) = 20. (3√7)^2 = 9(7) = 63.
Step 4: Multiply each term by twice the product of the two terms. 2 * (2√5) * (3√7) = 12√35.
Step 5: Combine the squared terms and the product term. 20 + 12√35 + 63.
Step 6: Simplify the expression. 20 + 63 = 83.
So, the solution to the problem is 83.