Solve सोडवा. boxed 10+ sqrt 25+ sqrt 108+ sqrt 154+ sqrt 225 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

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

Evaluate

$4$

Solution Steps

Calculate the square root of $225$ and get $15$.

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

Add $154$ and $15$ to get $169$.

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

Calculate the square root of $169$ and get $13$.

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

Add $108$ and $13$ to get $121$.

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

Calculate the square root of $121$ and get $11$.

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

Add $25$ and $11$ to get $36$.

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

Calculate the square root of $36$ and get $6$.

$$\sqrt{10+6}$$

Add $10$ and $6$ to get $16$.

$$\sqrt{16}$$

Calculate the square root of $16$ and get $4$.

$$4$$

Factor

$2^{2}$