Subtract. $$ \sqrt{125}-\sqrt{245} $$

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UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ \sqrt{125}-\sqrt{245} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\sqrt{125}-\sqrt{245}$$
- step1: Simplify the root:
  $$5\sqrt{5}-\sqrt{245}$$
- step2: Simplify the root:
  $$5\sqrt{5}-7\sqrt{5}$$
- step3: Collect like terms:
  $$\left(5-7\right)\sqrt{5}$$
- step4: Subtract the numbers:
  $$-2\sqrt{5}$$
The result of subtracting $$\sqrt{125}$$ from $$\sqrt{245}$$ is $$-2\sqrt{5}$$ or approximately -4.472136.
The result is $$-2\sqrt{5}$$ or approximately -4.472136.

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