Question

What is the answer of this question?

Answer 1

Step-by-step explanation:

${\blue{\underline{\underline{\bold{To\:Find:-}}}}}$

$\bf \sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225} } } } }$

${\green{\underline{\underline{\bold{Solution:-}}}}}$

$\bf \sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225} } } } }$

$\bf \sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{15 \times 15} } } } }$

$\bf \sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + 15 } } } }$

$\bf \sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{169} } } }$

$\bf =\sqrt{10 + \sqrt{25 + \sqrt{108 + 13 } } }$

$\bf =\sqrt{10 + \sqrt{25 + \sqrt{121 } } }$

$\bf =\sqrt{10 + \sqrt{25 + 11 } }$

$\bf =\sqrt{10 + \sqrt{36 } }$

$\bf =\sqrt{10 + 6 }$

$\bf = \sqrt{16 }$

$\boxed{\implies 4}$