Question

1. Simplify the following expressions:-
a) (√2-1) (√2+1)
b) (2√3+1)2
c) (√3-√2)2
d) (√5-√3)(√2-1)
e) 3√2+5√20-5√5
f) (4+√3)(1-√2)
g) (4-√3) (4+√3)
h) (2√2+√3)2
i) 2√3x4√5
j) 8√15÷4√3

Answer 1

Answer:

hope this answers help you...

Answer 2

Answer:

$\huge\boxed{\fcolorbox{red}{pink}{Your's Answer}}$

Ans:1

$( \sqrt{2} - 1)( \sqrt{2} + 1)$

$\red {Identity \: used}$

$(x + y)(x - y) = {x}^{2} - {y}^{2}$

$\green {Solution}$

$( { \sqrt{2} })^{2} - ( {1})^{2}$

$= 2 - 1$

$= 1$

Ans:2

$( { \sqrt[2]{3} + 1 }</strong><strong>)</strong><strong>^{2}$

$\red {Identity \: used}$

$( {x + y})^{2} = {x}^{2} + {y}^{2} + 2xy$

$\green {Solution}$

$= ( { \sqrt[2]{3} })^{2} + ( {1})^{2} + 2 \times \sqrt[2]{3} \times 1$

$= 12 + 1 + \sqrt[4]{3} \\ 13 + \sqrt[4]{3}$

Ans:-3

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

$\red {Identity \: used}$

$( {x </strong><strong>-</strong><strong> y})^{2} = {x}^{2} + {y}^{2} </strong><strong>-</strong><strong> 2xy$

$\green {Solution}$

$= </strong><strong>(</strong><strong>{ \sqrt{3} }</strong><strong>)</strong><strong>^{2} + </strong><strong>(</strong><strong>{ \sqrt{2} }</strong><strong>)</strong><strong>^{2} - 2 \times \sqrt{3} \times \sqrt{2}$

$= 3 + 2 - \sqrt[2]{6} \\ 5 - \sqrt[2]{6}$

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