Question

rationalize plz. ........ ​

Answer 1

Step-by-step explanation:

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Answer 2

♦Question:-

Rationalize the following:-

→$\frac{\sqrt{10}}{3+2 \sqrt{2}}$

$\rule{200}{1}$

★Answer:-

•Multiply the numerator and denominator with 3-2√2•

we get,

→$\frac{\sqrt{10}×(3-2 \sqrt{2})}{(3+2 \sqrt{2})×(3-2 \sqrt{2})}$

[°•° (a+b)×(a-b)=a²-b²]

→$\frac{\sqrt{10}×(3-2 \sqrt{2})}{(3)^{2}-(2 \sqrt{2})^{2}}$

→$\frac{3 \sqrt{10}-2 \sqrt{20}}{9-8}$

→$\frac{3 \sqrt{10}-2 \sqrt{20}}{1}$

→$\frac{\sqrt{10}(3-2 \sqrt{2})}{1}$

→${\sqrt{10}(3-2 \sqrt{2})}$

$\rule{200}{8}$