Question

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Answer 1

I. Add the following surds :-

1.). (5√3 -2√7) and (8√3 +6√7)

:- (5√3 -2√7) + (8√3 +6√7)

:- (5√3+8√3) +(-2√7+6√7)

:- 13√3 - 4√7 } -: answer

2.) (1/2√2+6√5) and (1/3√2-4√5)

:- (1/2√2+6√5) + (1/3√2-4√5)

:- (1/2√2+1/3√2) +( 6√5-4√5)

:- 5/6√2 +2√5 } -: answer

II. Find the product :

1.). (2-√3) (2+√3)

:- (2)^2 - (√3)^2

:- 4 - 3

:- 1 } -: answer

2.) (4-√5)^2

:- (4)^2 + (-√5)^2 +2 (4) (-√5)

:- 16+5-8√5

:- 21 - 8√5 } -: answer

3.) (6√5+ 7√6) (3√2 - 4√5)

:- 6√5( 3√2 - 4√5) +7√6( 3√2 - 4√5)

:- 18√10 - 120 + 21√12 - 28√30 } -: answer

4.) (3√x + 5√y) ( 3√x - 5√y)

:- ( 3√x)^2 - (5√y)^2

:- 9x - 25y } -: answer

III. Simplify the following :

1.) √252 -5√6 +√294

:- 15. 87 - 12.24 + 17.14

:- 20.77 } -: answer

2.) 8√242 - 5√50 + 3√98

:- 124.45 - 35.35 + 29.69

:- 118.79 } -: answer

3.) √48 - √72 -√27 + 2√18

:- 6.92 - 8.48 - 5.19 + 8.48

:- 1.73 } -: answer

4.) divide ^3√128 by ^4√32

:- ^3√128/^4√32

:- (2)^1/3 } -: answer

5.) ^4√81 -8(^3√216)+15(^4√32)+√225

:- (3)^4×1/4 - 8(6)^3×1/3 + 15(5.65)^2×1/4 + 15

:- 3 -48 +119.7 + 15

:- 89.7 } -: answer

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