Math, asked by upasnanikam5, 1 day ago

Rationalize the denominator

3 \sqrt{5}  +  2 \sqrt{2}

Answers

Answered by pandyarivan71
0

Answer:

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Step-by-step explanation:

We rationalise the denominator of (

3

2

5

5

2

3

) by multiplying its rationalising factor (3

2

+

5

) in the numerator and denominator as follows:

3

2

5

5

2

3

×

3

2

+

5

3

2

+

5

=

(3

2

5

)(3

2

+

5

)

(5

2

3

)(3

2

+

5

)

=

(3

2

)

2

−(

5

)

2

5

2

(3

2

+

5

)−

3

(3

2

+

5

)

=

(9×2)−5

(5×3

2×2

)+(5

2×5

)−(3

3×2

)−(

3×5

)

=

18−5

15

4

+5

10

−3

6

15

=

13

(15×2)+5

10

−3

6

15

=

13

30+5

10

−3

6

15

Hence,

3

2

5

5

2

3

=

13

30+5

10

−3

6

15

Answered by yedularamcharanday
0

Answer:

3√5-2√2

Step-by-step explanation:

  1. 3√5-2√2× 3√5-2√2
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