Math, asked by manju1267shrma, 5 months ago

simplify 5+2√3/7+4√3​

Answers

Answered by krrishlohia
0

Step-by-step explanation:

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Asked on January 17, 2020 by

Kaushal Murugesan

If

7+4

3

5+2

3

=a+b

3

, then the value of a and b.

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ANSWER

7+4

3

5+2

3

=a+b

3

Since rationalization of

c+

d

a+

b

=

c+

d

a+

b

×

c−

d

c−

d

Taking L.H.S.

By rationalization,

7+4

3

5+2

3

=

7+4

3

5+2

3

×

7−4

3

7−4

3

Since, {(a+b)(a−b)=a

2

−b

2

}

=

[(7)

2

−(4

3

)

2

]

(5+2

3

)×(7−4

3

)

=

49−16

3

3

35+14

3

−20

3

−8

3

3

=

49−48

35−

3

(14−8)−24

=

1

35−

3

(6)−24

=11−6

3

Hence, by comparing a = 11 & b = -6.

Answered by devjeetghosh4
0

Answer:

Just do lcm

Step-by-step explanation:

5 + 2√3 / 7 + 4√ 3

5 + ( 2 √3 / 7 + 4√3)

5 + ( 2 √3 + 28 / √3)

7

5 + 30√3 / 7

35 + 30√3

7

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