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Evaluate √ 50625 and Hence Find the Value of √ 506.25 + √ 5.0625 - Mathematics

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Question

Evaluate   `sqrt(50625)`and hence find the value of `sqrt506.25+sqrt5.0625`

Solution

We have:

`sqrt50625=sqrt(3xx3xx3xx3xx5xx5xx5xx5)=3xx3xx5xx5=225`

Next, we will calculate `sqrt506.25 and sqrt5.0625`

`sqrt506.25=sqrt50625/100=sqrt50625/sqrt100=225/10=22.5` 

`sqrt506.25+sqrt5.0625=22.5+2.25=24.75`

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Chapter 3: Squares and Square Roots - Exercise 3.7 [Page 52]

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RD Sharma Mathematics [English] Class 8
Chapter 3 Squares and Square Roots
Exercise 3.7 | Q 17 | Page 52

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