1.

Hey guysQuestion in attachmentAnswer all of the 3 questions ✔✖No spam or else you will be reported✖​

Answer»

Step-by-step explanation:

1)

=> a = 8+3√7

b = 1/a = 1/(8+3√7)

= (8-3√7)/{(8 - 3√7)(8+3√7)}

= (8-3√7)/{(8)²-(3√7)²}

= (8-3√7)/(64 - 63)

= 8 -3√7

Now ,

a² + b² = (a+b)² -2ab

= (8+3√7 + 8-3√7)² -2(8+3√7)(8-3√7)

= (16)² -2(64 -63)

= 256 - 2 = 254 ANSWER

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2)

=> (3-√5)/(3+2√5)

= (3-√5)(3-2√5)/{(3+2√5)(3-2√5)}

= (3² - 3√5 -6√5 + 10)/{(3)²-(2√5)²}

= (9 - 9√5 + 10)/(9-20)

= (19 - 9√5)/(-11)

= {(9√5)/11} - 19/11

= a√5 - (19/11)b

So,

=> a = 9/11

=> b = 1

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3)

(2√6 - √5)/(3√5-2√6)

=> {(2√6-√5)(3√5+2√6)}/{(3√5-2√6)(3√5+2√6)}

= {(2√6)(3√5) -(√5)(3√5)+(2√6)²-(√5)(2√6)}/{(3√5)²-(2√6)²}

= (6√30 - 15 + 24 -2√30)/(45-24)

= (11 - 4√30)/21



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