Question

Simplify root under root 30+ root 21/ root 30-root21. Pls explain step by step​

Answer 1

Answer:

3.202

Step-by-step explanation:

\frac{ \sqrt{ \sqrt{30} + \sqrt{21} } }{ \sqrt{30} - \sqrt{21} } = \frac{ \sqrt{10.06} }{0.99} = \frac{3.17}{0.99} = 3.20230−2130+21=0.9910.06=0.993.17=3.202

Answer 2

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

➡️Simplify ::

$\: \boxed{ \bf \color{bluecyan} \: question \to \: \frac{ \sqrt{30} + \sqrt{21} }{ \sqrt{30} - \sqrt{21} }}$

$\: \clubsuit \bf{ \: \: rationlizing \: the \: denominator}$

$\to \bf{ \frac{ \sqrt{30} + \sqrt{21} }{ \sqrt{30} - \sqrt{21} } \times \frac{ \sqrt{30} + \sqrt{21} }{ \sqrt{30} + \sqrt{21} } }$

$\to \bf{ \: \frac{ {\sqrt {30 + \sqrt{21} }^{2} } }{30 - 21} }$

$\: \to \bf{ \frac{ \sqrt{30} + \sqrt{21} }{7} } \: is \: the \: answer$