Fill in the gaps with the suitable word: To stay healthy we must have a balanced-

ধরি, ক্রমিক সংখ্যা দুটি= x, x+1

শর্তমতে, (x+1)²-x²=47

    or, x²+2x+1-x²=47

    or, 2x=47-1

    or, x=46/2

    or, x=23
তাহলে একটি সংখ্যা ২৩, অপর সংখাটি ২৪

y = ( (x+y)/2 )² - ( (x−y)/2 )²
  = (x²/4) − (y²/4)
  = (4)² − (3)²
  = 16 − 9
∴ xy = 7

x² + y² =
= (x+y)² − 2xy
= (8)² − 2×7
= 64 − 14
= 50 (Answer)

√2/(√6 + 2)

= √2(√6 - 2)/(√6 + 2)(√6 - 2)

= √2(√6 - 2)/{(√6)² - 2²} 

= √2(√6 - 2)/(6 - 4)

= √2(√6 - 2)/2

= √2√2(√3 - √2)/2

= 2(√3 - √2)/2

= √3 - √2