kylie0046
Answered

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Simplify this please!!​

Simplify This Please class=

Sagot :

sqdancefan

Answer:

  10√13 +25√2

Step-by-step explanation:

Factoring the given radicals to primes gives us a clue as to how to simplify the expression.

  [tex]\sqrt{1300}-\sqrt{882}+\sqrt{968}+\sqrt{1152}\\\\=\sqrt{10^2\cdot13}-\sqrt{21^2\cdot2}+\sqrt{22^2\cdot2}+\sqrt{24^2\cdot2}\\\\=10\sqrt{13}+(-21+22+24)\sqrt{2}=\boxed{10\sqrt{13}+25\sqrt{2}}[/tex]

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