Question

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

13
13

17
17

21
21

31

Answer 1

I’m not certain how to read the expression you typed — the caret (^) usually means exponent, but the multiple-choice answers are small numbers, so maybe you meant multiplication by a radical (3√64) instead. Which of these do you mean?

1) 3^(√64) + 3(√2^2 + 5)
- √64 = 8, so 3^8 = 6561.
- √2^2 = 2, so 3(2+5) = 21.
- Total = 6561 + 21 = 6582.

2) 3·√64 + 3(√2^2 + 5)
- √64 = 8, so 3·8 = 24.
- √2^2 = 2, so 3(2+5) = 21.
- Total = 24 + 21 = 45.

3) 3·√64 + √2^2 + 5
- √64 = 8 → 3·8 = 24.
- √2^2 = 2.
- Total = 24 + 2 + 5 = 31.

If you intended the expression to be 3√64 + √2^2 + 5, the answer is 31 (one of your choices). Tell me which parsing you meant and I’ll give the final simplified result.