how does √28 = 2√7?
4*7=28
4 is perfect square can reduce to 2
7 is not, so it must stay a radican
4*sqrt7= square root of 28
√28 = √4 * √7
= 2*√7
= 2√7
To understand why √28 is equal to 2√7, we need to simplify both expressions and compare them.
First, let's calculate the square root of 28 (√28):
√28 = √(4 * 7)
Since 4 is a perfect square, we can simplify further:
√28 = √4 * √7
√4 is equal to 2:
√28 = 2 * √7
Hence, √28 is indeed equal to 2√7.