simplify 13√180 − 2√320 (1 point)

3 answers

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
13√180 − 2√320 (1 point)

-22√35

62√5

-11√140

19√5
The simplified expression is 19√5.