SOLUTION: Square root of 8 plus 3 times the square root of 8 minus 3

Question 817827: Square root of 8 plus 3 times the square root of 8 minus 3

Found 2 solutions by FightinBlueHens, jsmallt9:
Answer by FightinBlueHens(27) (Show Source): You can put this solution on YOUR website!
√8 + 3√8 - 3 = 4 √8 � 3

√8 = √(4*2) = 2 √2
4 √8 � 3 = 4*2 √2 - 3
= 8√2 - 3

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

The two square root terms are like terms. (Like radical terms are the same type of root and have the same radicands. ("Radicand" is the name for the expression inside a radical.) Our radicals are both square roots with radicands of 8 so we can add them together. Exactly like x + 3x = 4x, . After adding our expression is:

All that is left is to simplify the square root. 8 has a perfect square factor, 4, so it will simplify:

which simplifies to:

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