Question

1÷√2×2=√2 Explain the method to get this answer?​

Answer 1

$\sf \frac{1}{\sqrt{2}}\:x\:2 = \frac{2}{\sqrt{2}}\\\\\sf</p><p>We \:need \:to\: rationalize\: the\: denominator \:as\: follows \\\\\sf</p><p>=\frac{2}{\sqrt{2}}\: x\: \frac{\sqrt{2}} {\sqrt{2}} \\\\\sf</p><p>=\frac{2\sqrt{2}}{2} \\\\\sf</p><p>=\frac{ \cancel{2}\sqrt{2}}{ \cancel{2}} \\\\\sf</p><p>=\sqrt{2}</p><p>$

Answer 2

1/√2 ×2 = 2/√2

2/√2 × √2/√2 = 2√2/2 = √2

Rationalising the denominator