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  1. Simply the sum or difference. √5+6√5
    A.6√5
    B.30
    C.6√10
    D.7√5

    2. Simply the sum or difference. 4√2-7√2
    A.-√6
    B.-3√2
    C.-11√2
    D.11√2

    3. Simply the sum or difference. 3√7-√63
    A.-2√7
    B.-6√7
    C.-4√3
    D.0

    4. Simply the sum or difference. -6√10+5√90
    A.9√10
    B.-9√10
    C.-39√10
    D.-10

    5. Simply the product. √6(√2+√3)

    A.√8+3
    B.√30
    C.2√3+3√2
    D.4√2+3√3

    6. Simply the product.3√7(1-√7)

    A.3√7-21
    B.3
    C.7
    D.2√7

    7. Simply the product. (√6+√3)(√2-2)

    A.2√3-√6
    B.-3√6
    C.0
    D.-√6

    8. Simply the Quotient.
    3/√7-√3

    A.√3/12√7+4√3
    B.3√7+3√3/4
    C.3√7-3√3/4
    D.3/4

    9. The ratio of the diffusion rates of two gases is given by the formula r1/r2=√m2/m1 where m1 and m2 are the masses of the molecules of the gases. Find r1/r2 if m1=12 unites and m2=30 units. Simply in radical form.
    A.√5/6
    B.√10/2
    C.√3/5
    D.2√6/5

    10.Simply the expression.
    (√3+√5)^2

    A.√6+√30+√10
    B.8
    C.8+2√15
    D.16

    please help me

Verified Answer :

Answer:

1. 7√5

2. -3√2

3. 0

4. 9√10

5. 2√3 + 3√2

6. 3√7 - 21

7. -√6

8. (3√7 + 3√3) / 4

9. √10 / 2

10. 8 + 2√15

(WARNING: I know what assessment this is. Be warned that this assessment does require you to show your work. Your teacher will ask to see your work, so I would recommend using this to check your answers, not to copy, as you won't receive full credit and it will be considered cheating.)

Hope this helps! :)

All expressions were simplified using the basics of surds.

What are surds?

A surd is an expression that includes a square root, cube root, etc.

1) √5+6√5

Take √5 as a common term.

=√5(1+6)

=7√5

2) 4√2-7√2

Take √2 as a common term

=√2(4-7)

=-3√2

3)3√7-√63

We know that√63 =3√7

=3√7-3√7

=0

4)-6√10+5√90

We know that√90 = 3√10

=-6√10+53√10

9√10

5)√6(√2+√3)

=√12 + √18

2√3+3√3

6)3√7(1-√7)

=3√7-3√7√7

=3√7-21

7) (√6+√3)(√2-2)

=√6√2-√62+√3√2-√32

=√12-2√6+√6-2√3

=2√3-2√6+√6-2√3

=-√6

8)3/(√7-√3)

Multiply both numerator and denominator by (√7+√3).

=[3(√7+√3)]/[(√7-√3)(√7+√3)]

=[3√7+3√3]/4

9)r₁/r₂=√m₂/m₁

It is given that m₁=12 & m₂=30

So, r₁/r₂=√30/12

r₁/r₂=√5/2

r₁/r₂=(√5√2)/(√2√2)

r₁/r₂=√10/2

10)(√3+√5)^2

=(√3)^2 + (√5)^2+2√3√5

=8+2√15

Thus, All expressions were simplified using the basics of surds.

To get more about surds visit:

https://brainly.com/question/24700530