Math, asked by saratdolai992, 1 month ago

simplify 2√7+3√2 / 2√7-3√2​

Answers

Answered by akshit3558
0

Answer:

(7+3

5

)/(7–3

5

)

Let us rationalize the denominator, we get

(7+3

5

)/(7–3

5

)=[(7+3

5

)(7+3

5

)]/[(7–3

5

)(7+3

5

)]

=[(7+3

5

)2]/[72–(3

5

)2]

=[72+(3

5

)2+2.7.3

5

]/[49–9.5]

=[49+9.5+42

5

]/[49–45]

=[49+45+42

5

]/[4]

=[94+42

5

]/4

=2[47+21

5

]/4

=[47+21

5

]/2

Step-by-step explanation:

you can see the explanation hope it help

Answered by pramodnagarcuraj17
2

Answer:

first of all multiply and divide it by neumirator

=>{(2√7+3√2)/(2√7-3√2)}{(2√7+3√2)/(2√7+3√2)}

=>{(2√7+3√2)^2}/{(2√7)^2 - (3√2)^2}

=>{(2√7+3√2)^2}/{(4*7)-(9*2)}

=>{(2√7+3√2)^2}/10

=>{(4*7)+(9*2)+(2*(2√7)*(3√2)}/10

=>{28+18+6√14}/10

=>(23+3√14)/5

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