what is the area of a rectangle with length √175 in. and width √63 in.?
\(Area\ of \ rectangle=\ width*length\\\\ Area=\sqrt{175}*\sqrt{63}=\sqrt{11025}=105\\\\ Area\ is\ equal\ to\ 105in^2\)
I got 105in². When you multiply the two roots, everything goes under one 'roof', and then it's a matter of taking out the perfect squares.
Like: √175 × √63
√(7×5×5) √(3×3×7)
the pairs come out
7×5×3 = 105
Hope that's not toooooo confusing xD