Solve: √9·3² + 2³·√4 | Mixed Operations Expression

Question

Solve:

932+234 \sqrt{9}\cdot3^2+2^3\cdot\sqrt{4}

Step-by-Step Solution

First, we need to evaluate the square roots: 9=3 \sqrt{9} = 3 and 4=2 \sqrt{4} = 2 .

Substitute these values back into the expression:

332+232 3\cdot3^2+2^3\cdot2

Calculate each term separately:

  • 32=9 3^2 = 9 , so 39=27 3\cdot9 = 27

  • 23=8 2^3 = 8 , so 82=16 8\cdot2 = 16

Add these values together:

27+16=33 27 + 16 = 33

Answer

33