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

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Answer Link

ashishdwivedilVT ashishdwivedilVT · Answer 2 · 2022-04-07T15:19:30+02:00

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+5*3√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-√6*2+√3*√2-√3*2

=√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