2) Give a simple look. 8√28 ÷ 2√7 for explain
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answer is x = 7
it is given that, (√x - 1)² = 8 - √28
⇒(√x - 1)² = 8 - √(2 × 2 × 7)
[ we know, (a ± b)² = a² + b² ± 2ab
so, (√x - 1)² = (√x)² + 1² - 2(1)(√x) = x + 1 - 2√x ]
⇒(x + 1 - 2√x) = 8 - 2√7
⇒x + 1 - 2√x = 8 - 2√7
⇒x - 2√x = 8 - 1 - 2√7
⇒x - 2√x = 7 - 2√7
on comparing both sides, we get
x = 7
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