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6. $-sqrt{18} - sqrt{98}$

Question

  1. $-sqrt{18} - sqrt{98}$

Explanation:

Step1: Simplify $\sqrt{18}$

$\sqrt{18} = \sqrt{9\times2} = 3\sqrt{2}$

Step2: Simplify $\sqrt{98}$

$\sqrt{98} = \sqrt{49\times2} = 7\sqrt{2}$

Step3: Substitute and compute

$-\sqrt{18}-\sqrt{98} = -3\sqrt{2} - 7\sqrt{2}$

Step4: Combine like terms

$-3\sqrt{2} - 7\sqrt{2} = (-3-7)\sqrt{2} = -10\sqrt{2}$

Answer:

$-10\sqrt{2}$