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simplify: 3√45 -4 √225 + √200 - √50

Sagot :

According to the given data we have the following:

3√45 -4 √225 + √200 - √50

Then to simplify we would have to make the following:

[3 × √3 × √3 × √5] - [√5 × √5 × √5] + [√2 × √2 × √2 × √5 × √5] - [√2 × √5 × √5]

=[3 × 3 × √5] - [5 × √5] + [2 × 5 × √2] - [5 × √2]

=3√5 - 5√5 + 10√2 - 5√2

=√5(3 - 5) + √2(10 - 5)

=(-2√5) + 5√2

Therefore, the answer would be 16√5 + 75√2

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