simplify sqrt(48)
To simplify √(48), we need to find the largest perfect square that divides 48. The largest perfect square that divides 48 is 16, since 4*4=16 and 16*3=48.
So, √(48) = √(16*3).
We can then separate the square root of a product into the product of the square roots:
√(48) = √(16)*√(3).
The square root of 16 is 4, so we have:
√(48) = 4√(3).
Therefore, √(48) simplifies to 4√(3).