Question

simplify (2√11+5√2)(2√11 -5√2)​

Answer 1

Answer:

-6

Step-by-step explanation:

$2 \sqrt{11 } = a$

$5 \sqrt{2} = b$

$(2 \sqrt{11} + 5 \sqrt{2} )(2 \sqrt{11} - 5 \sqrt{2} ) = (a + b)(a - b) = a {}^{2} - b {}^{2}$

$(2 \sqrt{11} ) {}^{2} - (5 \sqrt{2}) {}^{2}$

$= (4 \times 11) - (25 \times 2)$

$= 44 - 50 = - 6$

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