Question

compute and give the answer in the simplest form 2√72×3√108 pls ans me gauys ​

Answer 1

Answer:

216√6

Step-by-step explanation:

By prime factorisation of 72, we get

72 = 2×2×2×3×3 = 2²• 2 • 3²

Similarly, prime factorisation of 108, we get

108 = 2×2×3×3×3 = 2²• 3 • 3²

Now, 2√72 = 2√(2²×2×3²) = 2×2×3(√2) = 12√2

3√108 = 3√(2²×3×3²) = 3×2×3(√2) = 18√2

Now, 12√2 • 18√2 = 216√6