root a + root b is equal to 17 and root a – root b =1 fing root ab

1 thought on “root a + root b is equal to 17 and root a – root b =1 fing root ab<br />”

1. Answer:

   [tex] \sqrt{ab} = 72[/tex]

   Step-by-step explanation:

   √a + √b = 17 ____(1)

   √a – √b = 1 ____(2)

   (1) + (2) = √a + √b + √a – √b = 17 + 1

   = 2√a = 18

   = √a = 18 ÷ 2 = 9

   a = 9² = 81

   (1) – (2) = √a + √b – √a – √b = 17 – 1

   = 2√b = 16

   = √b = 16 ÷ 2 = 8

   b = 8² = 64

   So,

   [tex] \sqrt{ab} = \sqrt{81 \times 64} = \sqrt{5184} = 72[/tex]

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