To simplify 13√180 − 2√320, we can first simplify the square roots under the radical signs.
√180 can be simplified as √(2 * 2 * 3 * 3 * 5), which becomes 2 * 3√5.
√320 can be simplified as √(2 * 2 * 2 * 2 * 2 * 5), which becomes 4 * 2√5.
Now we can substitute these simplified values back into the original expression:
13(2 * 3√5) - 2(4 * 2√5)
Simplifying further:
26√5 - 16√5
Combining like terms, the simplified expression is:
10√5
simplify 13√180 − 2√320 (1 point)
3 answers
13√180 − 2√320 (1 point)
-22√35
62√5
-11√140
19√5
-22√35
62√5
-11√140
19√5
The simplified expression is 19√5.