75–√ - 45–√ = √75 - √45
To simplify this further, we can simplify the square roots:
√75 = √(25*3) = 5√3
√45 = √(9*5) = 3√5
So, √75 - √45 = 5√3 - 3√5
The difference is
.
To simplify this further, we can simplify the square roots:
√75 = √(25*3) = 5√3
√45 = √(9*5) = 3√5
So, √75 - √45 = 5√3 - 3√5
√45 can be simplified by factoring 45 into its prime factors:
√45 = √(3 * 3 * 5)
Since 3 appears twice as a factor, we can take one 3 out of the square root:
√45 = 3√5
Now we can substitute this simplified form back into the original expression:
75 - 3√5
The difference is:
75 - 3√5.
First, let's simplify the square root of 45. Since 45 can be factored into 9 * 5, we can rewrite the expression as √(9 * 5). The square root of 9 is 3, so we have 3√5.
Next, let's simplify √. The square root of √ is simply .
Now, we can subtract the two simplified expressions: 75 - 3√5 - .
Since 75 does not have any square roots, it remains as is. The simplified expression is 75 - 3√5 - .
Please calculate to find the actual numerical difference.