Roots and Irrational Numbers Unit Test
Math 8 Q2 (Pre-Algebra) / Roots and Irrational Numbers
simplify √48
To simplify √48, you can factor it into its prime factors.
Start by finding the perfect square factor of 48. The largest perfect square that divides 48 is 16 (4^2).
Divide 48 by 16 to get 48/16 = 3.
Now, express 16 as the product of its prime factors: 16 = 2^4.
Simplify the square root of 48 as follows:
√48 = √(16 * 3)
Using the product property of square roots, you can split the square root into the product of two separate square roots:
√48 = √16 * √3
Simplify both square roots:
√16 = 4
√3 remains the same.
Therefore, √48 = 4√3.