Question

Find the missing value. (√24-√k)(√24+√k)=5

Answer 1

Answer:

19

Step-by-step explanation:

$(\sqrt{24} -\sqrt{k} )(\sqrt{24} +\sqrt{k} )\\\\As,\\\\\hookrightarrow a^{2} -b^{2} =(a+b)(a-b)\\\\Subtitute:\\\\a=\sqrt{24} \\\\b=\sqrt{k} \\\\Now,\\\\\hookrightarrow (\sqrt{24} -\sqrt{k} )(\sqrt{24} +\sqrt{k} )=5\\\\\hookrightarrow (\sqrt{24} )^{2} -(\sqrt{k} )^{2} =5\\\\\hookrightarrow 24-k=5\\\\\hookrightarrow 24-5=k\\\\\hookrightarrow 19$

Answer 2

Answer:

• k = 19

Step-by-step explanation:

Identity

• (a + b)(a - b) = a² - b²

Simplifying the LHS (Left Hand Side)

• (√24-√k)(√24+√k)
• (√24)² - (√k)²
• 24 - k

Equating to the RHS

• 24 - k = 5
• k = 24 - 5
• k = 19