Question

Q1) Find the value of 'a' and 'b' if;
5+2√3/
5-2√3
= a+ b√ 3
​

Answer 1

Step-by-step explanation:

$5 + 2 \sqrt{3} \div 5 - 2 \sqrt{3}$

$({5 + 2 \sqrt{3} })^{2} \div (5 + 2 \sqrt{3} )(5 -2 \sqrt{3} )$

$(25 + 12 + 10 \sqrt{3} ) \div (25 - 12)$

$(37 + 10 \sqrt{3} ) \div (13)$

.•. a= 37/13

b=10√3/13

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Answer 2

Answer:

5+2

3

÷5−2

3

({5 + 2 \sqrt{3} })^{2} \div (5 + 2 \sqrt{3} )(5 -2 \sqrt{3} )(5+2

3

)

2

÷(5+2

3

)(5−2

3

)

(25 + 12 + 10 \sqrt{3} ) \div (25 - 12)(25+12+10

3

)÷(25−12)

(37 + 10 \sqrt{3} ) \div (13)(37+10

3

)÷(13)

.•. a= 37/13

b=10√3/13

Step-by-step explanation:

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