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Given : 35 - 12√6 - 4√15 + 6√10.
⇒ (35 - 12√6 - 4√15 + 6√10)
⇒ 18 + 5 + 12 - 6√6 - 6√6 - 2√15 - 2√15 + 3√10 + 3√10
⇒ 18 + 3√10 - 6√6 + 3√10 + 5 - 2√15 - 6√6 - 2√15 + 12
⇒ 3√2(3√2 + √5 - 2√3) + √5(3√2 + √5 - 2√3) - 2√3(3√2 + √5 - 2√3)
⇒ (3√2 + √5 - 2√3)(3√2 + √5 - 2√3)
⇒ (3√2 + √5 - 2√3)^2.
Its positive square root:
⇒ √(3√2 + √5 - 2√3)^2
⇒ 3√2 + √5 - 2√3.
Hope this helps!
BIGBANG1234:
thank you so much sir
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hopefully it will work
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