## anonymous one year ago Simplify 3 square root of 10 end root plus 7 square root of 15 end root minus 6 square root of 10 end root minus 4 square root of 15.

1. Michele_Laino

2. anonymous

|dw:1438793563170:dw|

3. Michele_Laino

ok!

4. Michele_Laino

then we can simplify it, like below: $\Large \left( {3 - 6} \right)\sqrt {10} + \left( {7 - 15} \right)\sqrt {15} = ...$ since I have grouped similar radicals

5. anonymous

right

6. Michele_Laino

oops... I have made a typo, here is the right expression $\Large \left( {3 - 6} \right)\sqrt {10} + \left( {7 - 4} \right)\sqrt {15} = ...$

7. Michele_Laino

now you have to compute the coefficients, namely: 3-6=... 7-4=...

8. anonymous

-3 and 3?

9. Michele_Laino

yes! so, what is the final expression?

10. anonymous

-3√10+3√15?

11. Michele_Laino

that's right!

12. anonymous

thank you so much!