32 radical5 - 17 radical5 in simplest form

Answer 1

To simplify \( 32 \sqrt{5} - 17 \sqrt{5} \), you can combine the like terms:

\[ 32 \sqrt{5} - 17 \sqrt{5} = (32 - 17) \sqrt{5} \]

Calculating \( 32 - 17 \):

\[ 32 - 17 = 15 \]

So, \( 32 \sqrt{5} - 17 \sqrt{5} = 15 \sqrt{5} \).

Thus, the expression in simplest form is:

\[ \boxed{15 \sqrt{5}} \]