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\left(55+12\sqrt{21}\right)\sqrt{2}
Use the distributive property to multiply 1 by 55+12\sqrt{21}.
55\sqrt{2}+12\sqrt{21}\sqrt{2}
Use the distributive property to multiply 55+12\sqrt{21} by \sqrt{2}.
55\sqrt{2}+12\sqrt{42}
To multiply \sqrt{21} and \sqrt{2}, multiply the numbers under the square root.