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Question

The value of

\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}} i s

6

2

4

8

ANSWER : 3

Descrption

<pre>
<math xmlns = "http://www.w3.org/1998/Math/MathML"><msqrt><mn>10</mn><mo>  +  </mo><msqrt><mn>25</mn><mo>  +  </mo><msqrt><mn>108</mn><mo>  +  </mo><msqrt><mn>154</mn><mo>  +  </mo><msqrt><mn>225</mn></msqrt></msqrt></msqrt></msqrt></msqrt><mspace linebreak = "newline"/><mo> = </mo><msqrt><mn>10</mn><mo>  +  </mo><msqrt><mn>25</mn><mo>  +  </mo><msqrt><mn>108</mn><mo>  +  </mo><msqrt><mn>154</mn><mo>  +  </mo><msqrt><mn>15</mn></msqrt></msqrt></msqrt></msqrt></msqrt><mspace linebreak = "newline"/><mo> = </mo><msqrt><mn>10</mn><mo>  +  </mo><msqrt><mn>25</mn><mo>  +  </mo><msqrt><mn>108</mn><mo>  +  </mo><msqrt><mn>169</mn></msqrt></msqrt></msqrt></msqrt><mspace linebreak = "newline"/><mo> = </mo><msqrt><mn>10</mn><mo>  +  </mo><msqrt><mn>25</mn><mo>  +  </mo><msqrt><mn>108</mn><mo>  +  </mo><mn>13</mn></msqrt></msqrt></msqrt><mspace linebreak = "newline"/><mo> = </mo><msqrt><mn>10</mn><mo>  +  </mo><msqrt><mn>25</mn><mo>  +  </mo><msqrt><mn>121</mn></msqrt></msqrt></msqrt><mspace linebreak = "newline"/><mo> = </mo><msqrt><mn>10</mn><mo>  +  </mo><msqrt><mn>36</mn></msqrt></msqrt><mspace linebreak = "newline"/><mo> = </mo><msqrt><mn>10</mn><mo>  +  </mo><mn>6</mn></msqrt><mspace linebreak = "newline"/><mo> = </mo><msqrt><mn>16</mn></msqrt><mspace linebreak = "newline"/><mo> = </mo><mn>4</mn></math>
</pre>

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