Question

Rationalize
1/3+√2
Please help me

Answer 1

Hii friend,

=> 1/ 3+✓2

=> 1/ 3+✓2 × 3-✓2/3-✓2

=> 1(3-✓2)/(3+✓2)(3-✓2)

We know that, (A+B) × (A-B) = A²-B²

=> 3-✓2/(3)² - (✓2)²

=> 3-✓2/9-2

=> 3-✓2/7

HOPE IT WILL HELP YOU..... :-)

Answer 2

$hi \: ..$

We have to rationalize :

$\frac{1}{3 + \sqrt{2} }$

$= \frac{1}{3 + \sqrt{2} } \times \frac{3 - \sqrt{2} }{3 - \sqrt{2} }$

$= \frac{1(3 - \sqrt{2} )}{(3 + \sqrt{2})(3 - \sqrt{2} )}$

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

$= \frac{3 - \sqrt{2} }{9 - 2}$

$= \frac{3 - \sqrt{2} }{7}$

$hence \: \: rationalized$
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$hope \: \: \: this \: \: \: helps...$