Question

simplify the following surd expression
1) 9 root 3 - 4 root 3 + root 5 + 2 root 5
2) 10 root 2 + 4 root 7 - 6 root 2

Answer 1

Answer:

Step-by-step explanation:

9√3-4√3+√5+2√5

5√3+3√5

Answer 2

Answer:

1) 5 root 3 + 3 root 5

2) 4 root 2 + 4 root 7

Step-by-step explanation:

1) (9 root 3 - 4 root 3) + ( [technically 1] root 5 + 2 root 5)

Move the surds with the same roots over:

(9 - 4 root 3) + ( 1 + 2 root 5)

There's the answer:

5 root 3 + 3 root 5

2) 10 root 2 + 4 root 7 - 6 root 2

move - 6 root 2 over to 10 root 2 so it becomes this:

10 - 6 root 2 + 4 root 7

There's the answer:

4 root 2 + 4 root 7

Your Welcome! :)