## janessia Group Title need help with simplifying radicals 2 years ago 2 years ago

1. janessia Group Title

|dw:1341559210514:dw|

2. asnaseer Group Title

the trick with these is to look at the number under the square root sign and see if you can express it as a product of a number that is a perfect square.

3. asnaseer Group Title

so think of how you can form 63 as a product of two numbers, one of which is a perfect square

4. janessia Group Title

nope its not a perfect square

5. asnaseer Group Title

63 is not a perfect square, but can you express 63 as the product of two other numbers, one of which is a perfect square?

6. janessia Group Title

can i do a factor tree?

7. asnaseer Group Title

yes

8. janessia Group Title

ohk hold on

9. asnaseer Group Title

ok

10. janessia Group Title

i got |dw:1341559648703:dw|

11. janessia Group Title

thts wat i got? ignore the bottom part

12. asnaseer Group Title

not quite:$\sqrt{63}=\sqrt{9*7}=\sqrt{3^2*7}=3\sqrt{7}$

13. asnaseer Group Title

you have swapped the 3 and 7

14. janessia Group Title

yea thts wat i meant

15. asnaseer Group Title

ok, now don't forget you also have to multiply by that 5 in the original question

16. janessia Group Title

so 5 times the answer we got?

17. asnaseer Group Title

yes - thats right

18. asnaseer Group Title

19. janessia Group Title

ohk hold on dnt leave yet

20. asnaseer Group Title

I won't - don't worry :)

21. janessia Group Title

i got a decimal?

22. asnaseer Group Title

23. janessia Group Title

ohhhhh

24. janessia Group Title

|dw:1341559908464:dw|

25. asnaseer Group Title

perfect! well done!

26. janessia Group Title

thnk u!!!!

27. asnaseer Group Title

yw :)