Simplify the following expressions-i 5 - -7 2 - -5ii 5 - -5 5 - -5iii -3 - -7iv -11 - -7 -11 - -7

(i)(5+√(7))(2+√(5)) ⇒ 10+5√(5)+2√(7)+√(3)5 ⇒ 32.3888 (ii)(5+√(5))(5 √(5)) ⇒5^2 (√(5))^2⇒ 25 5 ⇒ 20 (iii)(√(3)+√(7)) ⇒ 4.377 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Simplification of an Expression

Simplify the ...

Question

Simplify the following expressions:
(i) $(5 + \sqrt{7}) (2 + \sqrt{5})$
(ii) $(5 + \sqrt{5}) (5 - \sqrt{5})$
(iii) $(\sqrt{3} + \sqrt{7})$
(iv) $(\sqrt{11} - \sqrt{7}) (\sqrt{11} + \sqrt{7})$

Open in App

Solution

Suggest Corrections

Similar questions

(11 + \sqrt{11}) (11 - \sqrt{11})

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

(\sqrt{8} - \sqrt{2}) (\sqrt{8} + \sqrt{2})

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

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

Simplify the following expressions :

(i) $(11 + \sqrt{11}) (11 - \sqrt{11})$

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

(iii) $(\sqrt{8} - \sqrt{2}) (\sqrt{8} + \sqrt{2})$

(iv) $(3 + \sqrt{3}) (3 - \sqrt{3})$

(v) $(\sqrt{5} - \sqrt{2}) (\sqrt{5} + \sqrt{2})$

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

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

(\sqrt{5} + \sqrt{2})^{2}

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

(3 - \sqrt{11}) (3 + \sqrt{11})

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

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

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

(5 + \sqrt{7}) (2 + \sqrt{5})

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

3 \times 3 \times 4 \times 4

2 \times 2 \times 5 \times 5

3 \times 3 \times 3 \times 3 \times 3 \times 3

5 \times 5 \times 11 \times 11 \times 7 \times 7

Join BYJU'S Learning Program