The value of \(\sqrt{3-2\sqrt2}\) isA. \(\sqrt3\) - \(\sqrt2\)B. \

1.	The value of \(\sqrt{3-2\sqrt2}\) isA. \(\sqrt3\) - \(\sqrt2\)B. \(\sqrt3\) + \(\sqrt2\)C. \(\sqrt5\) + \(\sqrt6\)D. none of these
Answer» \(\sqrt{3-2\sqrt2}\) (try to break the terms in form of (a+b)² or (a – b )²) √(√2)²+ 1² – 2 ×√2×1) = √(√2-1)² = √2 – 1.

The value of \(\sqrt{3-2\sqrt2}\) isA. \(\sqrt3\) - \(\sqrt2\)B. \(\sqrt3\) + \(\sqrt2\)C. \(\sqrt5\) + \(\sqrt6\)D. none of these

Answer»

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

(try to break the terms in form of (a+b)² or (a – b )²)

√(√2)²+ 1² – 2 ×√2×1) = √(√2-1)² = √2 – 1.

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.