Question

(3√64 + 4√81) × 5√32

Answer 1

(3√64+4√81)•5√32

(3•8+4•9)•5•4√2

(24+36)•5•4√2

60•5•4√2

1200√2

Answer 2

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Answer 3

Let's break down the expression step by step:

1. First, simplify the square roots:

   • √64 = 8 (since 8 * 8 = 64)
   • √81 = 9 (since 9 * 9 = 81)
   • √32 = 4√2 (since 4 * 4√2 = 32)

2. Substitute the simplified square roots back into the expression:

   • 3√64 + 4√81 = 3 * 8 + 4 * 9 = 24 + 36 = 60

3. Now, multiply the simplified expression by 5√32:

   • 60 * 5√32 = 300√32 = 300 * 4√2 = 1200√2

So, the result of the expression (3√64 + 4√81) × 5√32 is 1200√2.