Question

write rationalising factors of the following
$\frac{3}{2 \sqrt{2} }$
$\sqrt{2} + \sqrt{3}$
$\frac{1}{ \sqrt{5} } + 7$
$\sqrt{7} - \sqrt{2}$
please answer to this fast​

Answer 1

Step-by-step explanation:

$\huge{ \underline{ \underline{ \mathfrak{ \red{Answer:-}}}}}$

$1) \bf \: \frac{3}{2 \sqrt{2} }$

Rationalising the denominator,

$\bf \longrightarrow \green{ \frac{3}{2 \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} }}$

$\bf \longrightarrow \green{ \frac{3 \sqrt{2} }{2 \times 2}}$

$\bf \longrightarrow \green{ \frac{3 \sqrt{2} }{4}}$

$2) \bf \: \sqrt{2} + \sqrt{3}$

Rationalising the denominator,

$\bf \longrightarrow \green{ \sqrt{2} - \sqrt{3}}$

$3) \bf \: \frac{1}{ \sqrt{5} } + 7$

Rationalising the denominator,

$\bf \longrightarrow \green{ \frac{1 + 7 \sqrt{5} }{ \sqrt{5} } }$

$\bf \longrightarrow \green{ \frac{1 + 7 \sqrt{5} }{ \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } }$

$\bf \longrightarrow \green{ \frac{1 + 7 \times 5}{5} }$

$\bf \longrightarrow \green{ \frac{36}{5} }$

$4) \bf \: \sqrt{7} - \sqrt{2}$

Rationalising the denominator,

$\bf \longrightarrow \green{ \sqrt{7} + \sqrt{2}}$