Question

if x = 2 root 3 + root 2 and y = 2 root 3 - root 2 evaluate x power 4 - y power 4

Answer 1

Answer:

224 root 6

Step-by-step explanation:

look in the attachment

hope u got help

Answer 2

Solution :-

• x = 2√3 + √2
• y = 2√3 - √2

→ x⁴ - y⁴

→ (x²)² - (y²)²

using a² - b² = (a + b)(a - b) Now ,

→ (x² - y²)(x² + y²)

Again, using a² - b² = (a + b)(a - b) Now ,

→ (x + y)(x - y)(x² + y²)

Now Putting given values we get,

→ {(2√3 + √2) + (2√3 - √2)}{(2√3 + √2) - (2√3 - √2)}{(2√3 + √2)² + (2√3 - √2)²}

→ (4√3) * (2√2) * (12 + 2 + 4√6 + 12 + 2 - 4√6)

→ 8√6 * 28

→ 224√6 (Ans.)