Question

$\sqrt{1369 + \sqrt{0.0615 + x \: } } = 37.25$
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Answer 1

Step-by-step explanation:

Here is your answer :-

$\sqrt{1369 + \sqrt{0.0615 + x} } = 37.25 \: \: (given) \\ \\ = > 1369 + \sqrt{0.0615 + x} = 37.25 {}^{2} \: \: (square \: both \: the \: sides) \\ \\ = > 1369 + \sqrt{0.0615 + x} = ( \frac{149}{4} ) {}^{2} \: \: (convert \: the \: decimal \: number \: into \: a \: fraction) \\ \\ = > 1369 + \sqrt{0.0615 + x} = \frac{22201}{16} \\ \\ = > \sqrt{0.0615 + x} = \frac{22201}{16} - 1369 \\ \\ = > \sqrt{0.0615 + x} = \frac{297}{16} \\ \\ = > 0.0615 + x = ( \frac{297}{16} ) {}^{2} \: \: (square \: both \: the \: sides) \\ \\ = > 0.0615 + x = \frac{88209}{256} \\ \\ = > x = \frac{88209}{256} - 0.0615 \\ \\ = > x = \frac{88209}{256} - \frac{123}{2000} \: \: (convert \: decimal \: numer \: into \: fraction) \\ \\ = > x = \frac{11024157}{32000} \\ \\ = > x = 344.5 \: \: (approx.)$

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Answer 2

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