The square root of 48 cannot be simplified to a whole number because 48 does not have any perfect square factors. However, it can be simplified by factoring out the largest perfect square possible, which is 16. Thus, we can write 48 as 16 times 3.
√48 = √(16 * 3)
By using the property of square roots that √(a*b) = √a * √b, we can separate the square root of 48 into the square root of 16 times the square root of 3.
√48 = √16 * √3
The square root of 16 is 4, so the simplified form is:
√48 = 4√3
simplify 48 square root
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1 answer