simplify the expression 3^√64 + 3(^2 √2^2+5)

Question

responces
13
17
21
31

Answer 1

To simplify the expression, we can start by calculating the values inside the parentheses first.

√64 = 8, since the square root of 64 is 8.

√2^2 = 2, since the square root of 2^2 is 2.

Now, we can substitute these values back into the expression:

3^8 + 3(2 + 5)

Next, we perform the exponentiation:

3^8 = 6561, since 3^8 equals 6561.

Now, we have:

6561 + 3(2 + 5)

Inside the parentheses, we have 2 + 5, which equals 7:

6561 + 3(7)

Now, we can perform the multiplication:

6561 + 21

Finally, we sum the terms to get the simplified expression:

6561 + 21 = 6582

Therefore, the simplified expression is 6582.

None of the given options (13, 17, 21, 31) match the simplified expression.