Simplify (2(sqrt)+3(sqrt)7)2. Show how. Justify each step.
there is an error in the equatiion i believe?
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Simplify
(
2
√
5
+
3
√
7
)
2
. Show your work. Justify each step.
To simplify the expression (2√ + 3√7)^2, we can follow these steps:
Step 1: Distribute the square to each term inside the parentheses.
(2√)^2 + 2(2√)(3√7) + (3√7)^2
Step 2: Simplify each term inside the parentheses.
(4) + 2√ * 3√7 + (9√7^2)
Step 3: Simplify each exponent.
4 + 2(√(3√7)) + 9(√7^2)
Step 4: Apply the square root of a square property.
4 + 2(√(3√7)) + 9(7)
Step 5: Simplify the multiplication.
4 + 2(√(3√7)) + 63
Step 6: Combine like terms.
67 + 2(√(3√7))
And that is the simplified expression: 67 + 2(√(3√7)).
Each step is justified by the rules of simplification and simplifying square roots.