Question

Find square root of 512 by prime factorisation method

Answer 1

Answer:16√2

Step-by-step explanation:

512= (2×2)×(2×2)×(2×2)×(2×2)×2

Four pairs of 2 and one 2 is unpaired

So, √(512) = √[(2×2)×(2×2)×(2×2)×(2×2)×2]

√(512) = 2×2×2×2×√2= 16√2