Math  /  Algebra

Question1. Simplify the below expressions. Only use Approach 3 [Searching for factorizations that have a perfect square: Large to small] as shown in class. You will earn 0 points for using Approaches 1 or 2. (a) 700+63\sqrt{700}+\sqrt{63} (b) 12898\sqrt{128}-\sqrt{98} (c) 16+17+18\sqrt{16}+\sqrt{17}+\sqrt{18}

Studdy Solution
Identify perfect square factors of 1616.
16=4 \sqrt{16} = 4
Since 1717 is not a product of a perfect square, it remains as:
17 \sqrt{17}
Identify perfect square factors of 1818.
18=9×2 18 = 9 \times 2
Since 99 is a perfect square, we can write:
18=9×2=9×2=32 \sqrt{18} = \sqrt{9 \times 2} = \sqrt{9} \times \sqrt{2} = 3\sqrt{2}
Combine the simplified terms:
16+17+18=4+17+32 \sqrt{16} + \sqrt{17} + \sqrt{18} = 4 + \sqrt{17} + 3\sqrt{2}
The simplified expressions are: (a) 13713\sqrt{7} (b) 2\sqrt{2} (c) 4+17+324 + \sqrt{17} + 3\sqrt{2}

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