Question

please solve it problem 21 and 22​

Answer 1

Step-by-step explanation:

answered in the uploaded picture

Answer 2

$\:\:\:\: \: \: \: \: \: \: \: \: \: \: \large\mathfrak{\underline{\underline{\huge\mathcal{\bf{\boxed{\huge\mathcal{!!ANSWER!!}}}}}}}$

$\:\: \underline{\underline{\bf{\large\mathfrak{~~solution1~~}}}}$

$\sqrt{ \frac{ \sqrt{2} - 1 }{ \sqrt{2} + 1} } \\ = \sqrt{\frac{( \sqrt{2} - 1) {}^{2} }{2 - 1} } \\ = \sqrt{2} - 1 \\ = 1.4142 - 1 \\ = 0.4142 \: \: option(c)$

$\:\: \underline{\underline{\bf{\large\mathfrak{~~solution2~}}}}$

$\sqrt{6} - \sqrt{3} \\ \sqrt{3} \times \sqrt{2} - \sqrt{3} \\ = \sqrt{3} ( \sqrt{2} - 1) \\ = \sqrt{3} (1.4142 - 1) \\ = 0.4142 \times \sqrt{3} \\ = 1.732 \times 0.4142 \\ = 0.707 \: \: option(b)$