Question

please give my answer fast

Answer 1

Answer:

1.(d) √3/3

2.(c) 2√5/5

3. 1/√10

=(1/√10)×(√10/√10)

= √10/10

4. 1/√3+√2

= (1/√3+√2)×√3-√2/√3-√2

= √3-√2/(√3)²-(√2)²

= √3-√2/3-2

= √3-√2

5. 1/√6-√5

= (1/√6-√5)×√6+√5/√6+√5

= √6+√5/(√6)²-(√5)²

= √6+√5/6-5

= √6+√5

6. 4/√7+√3

= (4/√7+√3)×√7-√3/√7-√3

= 4(√7-√3)/(√7)²-(√3)²

= 4(√7-√3)/7-3

= 4(√7-√3)/4

= √7-√3

7. (1/2+√3)+(1/2-√3)

=1/(2)²-(√3)²

=1/4-3

=1

8. (6-4√3)/(6+4√3)

=(6-4√3)/(6+4√3)×(6-4√3)/(6-4√3)

=(6-4√3)²/(6)²-(4√3)²

={(6)²-2×6×4√3+(4√3)²}/(6)²-(4√3)²

={36-48√3+(4×3)/36-(4×3)

={36-48√3+12}/36-12

={48-48√3}/24

=48(1-√3)/24

=2(1-√3)/24

=2-2√3

9. (4+√5/4-√5) + (4-√5/4+√5)

=(4+√5+4-√5)/(4)²-(√5)²

=8/16-5

=8/11

10. 30/(5√3-3√5)

=30/(5√3-3√5)×(5√3+3√5)/(5√3+3√5)

=30(5√3+3√5)/(5√3)²-(3√5)²

=30(5√3+3√5)/(25×3)-(9×5)

=30(5√3+3√5)/75-45

=30(5√3+3√5)/30

=5√3+3√5

ans.

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