Math, asked by DhyeyKotecha, 1 year ago

Rationalize the denominator:

 \sqrt{5}-\sqrt{2} / \sqrt{5}+\sqrt{2}

Answers

Answered by kvnmurty
1
(√5 - √2 )/ (√5 + √2)

Multiply with the rational conjugate of the denominator.. in the numerator and denominator.

\frac{(\sqrt5-\sqrt2)*(\sqrt5-\sqrt2)}{(\sqrt5+\sqrt2)*(\sqrt5-\sqrt2)}\\\\=\frac{5+2-2\sqrt{10}}{5-2}\\\\=\frac{7}{3}-\frac{2}{3}\sqrt{10}

kvnmurty: click on red heart thanks above pls
Answered by abhi178
1
(√5 -√2)/(√5 + √2)

for rationalization , arrange the number in such a way that denominator always free from roots .
this is possible when we multiply numerator number with denominator .

e.g ( √5 -√2)(√5 -√2)/(√5+√2)(√5-√2)

= (√5 - √2)²/( √5² -√2²)

=( 7 -2√10)/3
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