Simplify the following expression -ii 5-7 5-7

Given : nbsp;(5+√(7)) (5 √(7)) Using nbsp; identity, nbsp; (a b)(a+b)=a^2 b^2 =5^2 (√(7))^2 =25 7 =18 ...

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Operations on Binomial Surds

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Question

Simplify the following expression :

ii) $(5 + \sqrt{7}) (5 - \sqrt{7})$

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Solution

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(4 + \sqrt{7}) (3 + \sqrt{2})

(3 + \sqrt{3}) (5 - \sqrt{2})

(\sqrt{5} - 2) (\sqrt{3} - \sqrt{5})

Simplify the following expressions :

(i) $(4 + \sqrt{7}) (3 + \sqrt{2})$

(ii) $(3 + \sqrt{3}) (5 - \sqrt{2})$

(iii) $(\sqrt{5} - 2) (\sqrt{3} - \sqrt{5})$

\frac{\frac{4}{7}}{\frac{2}{5}}

simplify the following expressions.

* (5+√7)(2+√5)

* (5+√5)(5-√5)

* (√3+√7)³

*(√11-√7)(11+√7)

\frac{27 p^{7}}{7}

\frac{63 p^{5}}{14}

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