Question

√2=1.4146 எ‌னி‌ல் (8-5√2)/(3-2√2) இன ம‌தி‌ப்பை 3 தச‌ம இட‌த்‌திரு‌த்தமாக காணவு‌ம்

Answer 1

Answer:

sorry i dont know the language

Answer 2

5.414

விளக்கம்:

$\sqrt{2}=1.414$

$\Rightarrow \frac{8-5 \sqrt{2}}{3-2 \sqrt{2}} \times \frac{3+2 \sqrt{2}}{3+2 \sqrt{2}}$

$=\frac{(8-5 \sqrt{2})(3+2 \sqrt{2})}{(3+2 \sqrt{2})(3+2 \sqrt{2})}$

$=\frac{8(3)+8(2 \sqrt{2})-5 \sqrt{2}(3)-5 \sqrt{2}(2 \sqrt{2})}{(3)^{2}(2 \sqrt{2})^{2}}$

$=\frac{24+16 \sqrt{2}-15 \sqrt{2-20}}{9-4(2)}$

$=\frac{4+(16-15) \sqrt{2}}{9-8}$

$=\frac{4+\sqrt{2}}{1}$

$=4+\sqrt{2}$

$=4+1.414$

=5.414

√2=1.4146 எ‌னி‌ல் (8-5√2)/(3-2√2) 3 தச‌ம இட‌த்‌திரு‌த்தம் = 5.414