Need help with the following Surds questions??...

1. Expand & simplify (√5+1)( √5+1)
2. 3/√12 expressed with a rational denominator & simplest form is?
3. √3/√2-1 expressed with a rational denominator is?
4. Express the following fractions in simplest form with a rational denominator?
a. 1/√6
b. 3√/2√3

thanx you, 10 points! :D

1.
(√5+1)( √5+1)
√5( √5+1)+1(√5+1)
5+√5+√5+1
6+2√5
2(3+√5)

2.
3/√12
(3/√12) (√12/√12)
3√12/12
√12/4
√4*3/4
2√3/4
√3/2

3.
(√3/√2-1) (√2+1/√2+1)
√6/(√2)^2 - (1)^2
√6/2 - 1
√6/1
√6

4.
a.
1/√6
(1/√6) (√6 /√6)
√6/6

b.
the question is wrong because whats inside the root is not being given.
if the question is 3/2√3 then the answer is
(3/2√3) (2√3/2√3)
6√3/12
√3/2

!!!Hope I Helped!!!

1. (sqrt5 + 1)(sqrt5 + 1)
FOIL:
(5 + 2sqrt5 + 1)
6 + 2sqrt5

2. 3/sqrt(12)
Multiply by sqrt(12)/sqrt(12)
3sqrt(12)/12
6sqrt(3)/12
sqrt(3)/2

3. sqrt(3) / sqrt(2) - 1
Multiply by sqrt(2) + 1 / sqrt(2) + 1
sqrt(3)sqrt(2) + sqrt(3) / 2 - 1
sqrt(3)sqrt(2) + sqrt(3)

4. a. 1/sqrt(6)
Multiply by sqrt(6)/sqrt(6)
sqrt(6)/6

4. b. If you meant 3sqrt(2)/sqrt(3)
Multiply by sqrt(3)/sqrt(3)
3sqrt(2)sqrt(3)/3
sqrt(2)sqrt(3)

If you meant 3/sqrt(3)sqrt(2)
Multiply by sqrt(3)sqrt(2)/sqrt(3)sqrt(2)
3sqrt(3)sqrt(2)/6
sqrt(3)sqrt(2)/2