Question

Simplify (8+root5)(8-root5)

Answer 1

Answer:

59 is the answer

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Answer 2

Answer: 59

Step-by-step explanation:

$(8 + \sqrt{5} )(8 - \sqrt{5)}$

According to an algebraic identity, (a + b)(a - b) = a² - b²

Use that identity here.

$(8 + \sqrt{5} )(8 - \sqrt{5)}$

$= 8^{2} - (\sqrt{5})^{2}$

$= 64 - 5$

$= 59$

More information:

Why is (a + b)(a - b) = a² - b²? Read to know.

(a + b)(a - b)

= a(a - b) + b(a - b)

= a² - ab + ba - b²

= a² - ab + ab - b² (ab = ba)

= a² - b²