\[1√2+3√8+6√32.\]
Write in the form ,a√b where a and b are positive integers:
1/sqrt(2) + 3/sqrt(8) + 6/sqrt(32)
= (1sqrt(2) + 3sqrt(2) + 6sqrt(2))/sqrt(2)
= 10sqrt(2)/sqrt(2)
= 10sqrt(2^1)
= 10sqrt(2)
1√2+3√8+6√321√2+32√2+64√21√2(1+32+64)√2242√2