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