perform the indicated operation
6√45 - 8√125
45= 9*5
125= 25*5
6�ã45-8�ã125=6�ã9*5-8�ã25*5
�ã9= 3
�ã25=5
6�ã9*5-8�ã25*5=6*3*�ã5-8*5*�ã5=18*�ã5-40*�ã5= -22�ã5
6�ã45-8�ã125= -22�ã5
9 √3 - √45
To perform the indicated operation, we need to simplify the given expressions involving square roots.
First, let's simplify the expressions inside the square roots:
√45 can be rewritten as √(9 × 5). Since 9 is a perfect square, we can take it out of the square root, resulting in 3√5.
Similarly, √125 can be rewritten as √(25 × 5), which simplifies to 5√5.
Now, we can substitute the simplified expressions back into the original problem:
6√45 - 8√125
= 6(3√5) - 8(5√5)
= 18√5 - 40√5
Since both terms now have the same square root (√5), we can combine them:
= (18 - 40)√5
= -22√5
Therefore, the simplified expression is -22√5.