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Evaluate: √200 + √50 − 3√45 + √125.

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Answer:

15√2 - 4√5

Step-by-step explanation:

√200 + √50 − 3√45 + √125.

= √100×2 + √25×2 -3(√9×5)+ √25×5

= √100 × √2 + √25×√2 -3(√9×√5) + √25 × √5

= 10√2 + 5√2 -3×3 ×√5 + 5√5

= 10√2 + 5√2 - 9√5 + 5√5

= 15√2 - 4√5

Answer:

15√2 - 4√5

Step-by-step explanation:

Let's take a look at the square roots:

√200 = √100*2 = 10√2
√50 = √25*2 = 5√2

√45 = √9*5 = 3√5
√125 = √25*5 = 5√5

If we use those calculations in the given expressions:

√200 + √50 − 3√45 + √125 = 10√2 + 5√2 - 3*(3√5) +5√5
= 15√2 - 9√5 + 5√5 = 15√2 - 4√5

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