note:%20Enter%20your%20answer%20and%20show%20all%20the%20steps%20that%20you%20use%20to%20solve%20this%20problem%20in%20the%20space%20provided.%0ASimplity%204/6%0AV30%0Aby%20rationalizing%20the%20denominator.%20Show%20your%20work.%0A(2%20points)
To simplify 4/6, we need to find the greatest common factor (GCF) of 4 and 6, which is 2.
Next, we divide both the numerator and the denominator by the GCF:
4 ÷ 2 = 2
6 ÷ 2 = 3
Therefore, 4/6 simplifies to 2/3.
To rationalize the denominator of √30, we need to rewrite it in a way that eliminates the square root from the denominator.
√30 can be simplified as follows:
√30 = √(2*3*5) = √2 * √3 * √5 = √(2∗3)∗√5 = √6√5 = √30
Therefore, √30 is already in simplified form and cannot be further simplified.