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Given : √23 + x√10 = √18 + √5
⇒ √23 + x√10 = 3√2 + √5
On squaring both sides, we get
⇒ (√23 + x√10)^2 = (3√2 + √5)^2
⇒ (23 + x√10) = 18 + 5 + 6√10
⇒ 23 + x√10 = 23 + 6√10
⇒ 23 + x√10 - 23 = 6√10
⇒ x√10 = 6√10
⇒ x = 6.
Therefore, the value of x = 6.
Hope it helps!
⇒ (23 + x√10) = 23 +
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