Question

2. The Rationalization of 1 is: 11-1120​

Answer 1

$\frac{1}{ \sqrt{11 - \sqrt{120} } }$

$\frac{1}{ \sqrt{11 -2 \sqrt{30} } }$

$\frac{\sqrt{11 -2 \sqrt{30} }}{ {11 -2 \sqrt{30} }}$

$\frac{\sqrt{11 -2 \sqrt{30} }(11 + 2 \sqrt{30)} }{ {11}^{2} - (2 \sqrt{30) {}^{2} } }$

$\frac{\sqrt{11 -2 \sqrt{30} }(11 + 2 \sqrt{30)} }{ 121 - (2 \sqrt{30) {}^{2} } }$

$\frac{\sqrt{11 -2 \sqrt{30} }(11 + 2 \sqrt{30)}(121 + (2 \sqrt{30) {}^{2} } }{ 121 {}^{2} - ((2 \sqrt{30) {}^{2} }) {}^{2} }$

$\frac{\sqrt{11 -2 \sqrt{30} }(11 + 2 \sqrt{30)}(121 + (2 \sqrt{30) {}^{2} } }{ 14641 - ((2 \sqrt{30) {}^{2} }) {}^{2} }$

$\frac{\sqrt{11 -2 \sqrt{30} }(11 + 2 \sqrt{30)}(121 + (2 \sqrt{30) {}^{2} } }{ 14641 - (2 \sqrt{30) {}^{4} } }$

$\frac{\sqrt{11 -2 \sqrt{30} }(11 + 2 \sqrt{30)}(121 + (2 \sqrt{30) {}^{2} } }{ {121}^{2} - {120}^{2} }$

$\frac{\sqrt{11 -2 \sqrt{30} }(11 + 2 \sqrt{30)}(121 + 2 {}^{2} \sqrt{30) {}^{2} } }{ {121}^{2} - {120}^{2} }$

$\frac{\sqrt{11 -2 \sqrt{30} }(11 + 2 \sqrt{30)}(121 + 4 \sqrt{30) {}^{2} } }{ {121}^{2} - {120}^{2} }$

$\frac{\sqrt{11 -2 \sqrt{30} }(11 + 2 \sqrt{30)}(121 + 4 \times 30) }{ {121}^{2} - {120}^{2} }$

$\frac{\sqrt{11 -2 \sqrt{30} }(11 + 2 \sqrt{30)}(121 + 120) }{ {121}^{2} - {120}^{2} }$

$\frac{\sqrt{11 -2 \sqrt{30} }(11 + 2 \sqrt{30)} \times 241 }{ {121}^{2} - {120}^{2} }$

$\frac{241\sqrt{11 -2 \sqrt{30} }(11 + 2 \sqrt{30)} }{ {121}^{2} - {120}^{2} }$

$\frac{241\sqrt{11 -2 \sqrt{30} }(11 + 2 \sqrt{30)} }{ 14641 - {120}^{2} }$

$\frac{241\sqrt{11 -2 \sqrt{30} }(11 + 2 \sqrt{30)} }{ 14641 - 14400 }$

$\frac{241\sqrt{11 -2 \sqrt{30} }(11 + 2 \sqrt{30)} }{ 241 }$

$\sqrt{11 -2 \sqrt{30}}(11 + 2 \sqrt{30} )$