What is the value of -10-25-108-154-225-

√(10+√(25+√(108+√(154+√(225))))) =√(10+√(25+√(108+√(154+15)))) =√(10+√(25+√(108+√(169)))) =√(10+√(25+√(108+13))) =√(10+√(25+√(108+13))) =√(10+√(25+√(121))) =√(1 ...

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Byju's Answer

Standard VIII

Mathematics

Square Root of a Number

What is the v...

Question

What is the value of $\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}}$ ?

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Solution

The correct option is A 4
$\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}}$
$= \sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + 15}}}}$
$= \sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{169}}}}$
$= \sqrt{10 + \sqrt{25 + \sqrt{108 + 13}}}$
$= \sqrt{10 + \sqrt{25 + \sqrt{108 + 13}}}$
$= \sqrt{10 + \sqrt{25 + \sqrt{121}}}$
$= \sqrt{10 + \sqrt{25 + 11}}$
$= \sqrt{10 + \sqrt{36}} = \sqrt{10 + 6} = \sqrt{16} = 4$

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Similar questions

Q. The value of

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

Q. Find the value of

\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}} + (\sqrt{\frac{225}{729}} - \sqrt{\frac{25}{144}}) \div \sqrt{\frac{16}{81}}

Q. If

\sqrt{10 + \sqrt{25 + \sqrt{x + \sqrt{154 + \sqrt{225}}}}} = 4

find the value of

x

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What is the value of √10+√25+√108+√154+√225?

The correct option is A 4√10+√25+√108+√154+√225 =√10+√25+√108+√154+15 =√10+√25+√108+√169 =√10+√25+√108+13 =√10+√25+√108+13 =√10+√25+√121 =√10+√25+11 =√10+√36=√10+6=√16=4

What is the value of $\sqrt{10 + \sqrt{25 + \sqrt{108 + \sqrt{154 + \sqrt{225}}}}}$ ?