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1. Reduce to their simplest forms—
(1) (3/a2+3⁄4/ab+3/b2) (3/a−3/b).
(2) (2√32-3√2+4)÷8.

2. (1) Square (a+b√−1)*+(a−b√=1)3.

(2) Extract the square root of 31-12-5.

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(3) 7√45+2√180+11√245.

(4) 22/4×32/54.

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(5) (x*—xy1+x‡y—y3)+(x*—y3).

4. (1) Show that if x+√ÿ=a+√b, x=a, y=b, and apply the principle to determine the square root of 12-4/5.

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(2) (√5−√2) (√2+1) (√3+√2) (√2-1).

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10. Square 3√2—2√7, and extract the square root of

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12. (1) Prove that

{√3+4√=I+√/3−4√=1}' =

(2) Simplify √7+4√‍3+√7−4√3.

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(6) Divide x+y+z−3 3⁄4xyz by x3+y3+z3.

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15. Ifax+by+ √cz=0, show that

a2x2+b2y2+c2z2=2(abxy+acxz+bcyz).

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(1) x3+xy ̄1—2x+y ̄‡—2x3y*+2x+y$+y.

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9xy=20(x+y); 10xz=24(x+z); 11yz=30(y+z).

7.

8.

9.

3x=2y and x3-y3.

10.

√x2+ay—b2=c+x

√y2+mx=x+y]

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