Question 1209031
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For all positive numbers a and b, sqrt(a)*sqrt(b) = sqrt(ab).<br>
Use that multiple times to write the expression as a single square root and then find pairs of common factors.<br>
{{{sqrt(17) * sqrt(12) * sqrt(16) * sqrt(85) * sqrt(18) * sqrt(51)}}}<br>
{{{sqrt((17)(12)(16)(85)(18)(51))}}}<br>
{{{sqrt((17)(4*3)(4*4)(5*17)(9*2)(17*3))}}}<br>
{{{sqrt((17*17*17)(9)(5)(4*4*4)(3*3)(2))}}}<br>
{{{(17*3*2*2*2*3)*sqrt((17)(5)(2))}}}<br>
{{{1224sqrt(170)}}}<br>
ANSWER: {{{1224sqrt(170)}}}<br>