Simplify.\(\sqrt{3-2\sqrt2}\)

1.	Simplify.\(\sqrt{3-2\sqrt2}\)
Answer» \(\sqrt{3-2\sqrt2}\) = \(\sqrt{(\sqrt{2})^2+(1)^2}\) - \(2\times \sqrt{2}+1\) = \(\sqrt{(\sqrt2-1)^2}\) = √2 - 1.

Answer»

\(\sqrt{3-2\sqrt2}\)

= \(\sqrt{(\sqrt{2})^2+(1)^2}\) - \(2\times \sqrt{2}+1\)

= \(\sqrt{(\sqrt2-1)^2}\)

= √2 - 1.

Discussion

The simplest rationalising factor of 2√5 - √3 isA. 2√5 + 3B. 2√5 + C. √5 + √3D. √5 - √3
The simplest rationalising factor of √3+ √5 isA. √3 - 5B. 3 - √5C. √3 - √5D. √3 + √5
Simplify:(√8 – √2) (√8 + √2)
Simplify each of the following:(i) \(\sqrt[3]{4}\) x \(\sqrt[3]{16}\)(ii) \(\frac{\sqrt[4]{1250}}{\sqrt[4]{2}}\)
Simplify:(3 + √3)(5 - √2)
Simplify:(3 + √3) (3 – √3)
Simplify:(4 + √7) (3 + √2)
Simplify:(√5 – √2) (√5 + √2)
Simplify:(√3 + √7)2
Simplify:(√5 – √3)2.