Question

(root of 7+root of 2)(9+2root of 14)

Answer 1

Solution :

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Given :

To find the value of :

⇒ (√7 + √2)(9 + 2√14)

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⇒ (√7 + √2)(9 + 2√14)

⇒ √7 (9 + 2√14) + √2(9 + 2√14)

⇒ 9√7 + 2√14 × √7 + 9√2 + 2√14 × √2

⇒ 9√7 + 2√(14 × 7) + 9√2 + 2√(14 × 2)

⇒ 9√7 + 2√(2 × 7 × 7) + 9√2 + 2√(7 × 2 × 2)

⇒ 9√7 + (2 × 7)√2 + 9√2 + (2 × 2)√7

⇒ 9√7 + 14√2 + 9√2 + 4√7

⇒ 13√7 + 23√2

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