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10√2x + 5√2x – 9√2x?

This question contains the adding and subtracting the similar radical terms containing √2 with variable x.

The first step of the question is solving for 10 √2x + 5 √2x = 15 √2x

Now subtract 9 √2x from the earlier answer 15 √2x.

This makes 15 √2x – 9 √2x = 6 √2x

Therefore simplifying the radicals gives 10 √2 x + 5 √2x – 9 √2x = 6 √2x

Hence solution = 6√2x.

12 √5x + 10 √5x – 3√5x?

This question contains the adding and subtracting the similar radical terms containing √5 with variable x.

The first step of the question is solving for 12 √5x + 10 √5x = 22 √5x

Now subtract 3√5x from the earlier answer 22√5x

This makes 22√5x – 3√5x = 19√5x.

Therefore simplifying the radicals gives 12√5x + 10√5x – 3√5x = 19√5x.

Hence solution = 19√5x.