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QUESTION
How to simplify square root of 98 - the square root of 50 - the square root of 72?
##-4sqrt(2)##
##sqrt98-sqrt50-sqrt72##
=##sqrt(49*2)-sqrt(25*2)-sqrt(36*2)->## factor the greatest perfect square factor.
=##sqrt(49)*sqrt(2)-sqrt(25)*sqrt(2)-sqrt(36)*sqrt(2)->## use product rule for radicals.
=##7sqrt(2)-5*sqrt(2)-6*sqrt(2)->## simplify all radicals with perfect square.
=##(7-5-6)sqrt(2)->## collect all the coefficient of the radicals.
=##-4sqrt(2)->## simplify.
