What is this expression in simplified form? \( (6 \sqrt{2})(-3 \sqrt{5}) \) A. -90 B. \( -18 \sqrt{10} \) C. \( -18 \sqrt{7} \) D. \( 3 \sqrt{7} \)

To simplify the expression \( (6 \sqrt{2})(-3 \sqrt{5}) \), we multiply the coefficients and the square roots separately. First, multiply the coefficients: \( 6 \times -3 = -18 \). Next, multiply the square roots: \( \sqrt{2} \times \sqrt{5} = \sqrt{10} \). Combining these gives us \( -18 \sqrt{10} \). So the simplified form is \( -18 \sqrt{10} \), which corresponds to option B! If you're ever puzzled by multiplying square roots, a handy tip is to treat the coefficients and roots separately—it's like two puzzle pieces fitting together! Just remember to multiply the coefficients first, then tackle the roots, and you'll master those tricky expressions in no time.