3√5 + 4√5
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7√5
12√5
7√10
12√10
3√5 + 4√5 Add
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To add the expressions ( 3sqrt{5} + 4sqrt{5} ), you combine the coefficients in front of the square root:
1. Identify the coefficients: for ( 3sqrt{5} ), the coefficient is 3, and for ( 4sqrt{5} ), it is 4.
2. Add the coefficients: ( 3 + 4 = 7 ).
3. Since both terms are multiples of ( sqrt{5} ), you keep the square root the same: ( 7sqrt{5} ).
So, the correct answer is ( 7sqrt{5} ). If you’d like further practice or deeper explanation, feel free to check the extended services page!