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√ 56 + √ 56 + √ 56 + ... ÷ 2 2 = ? - Mathematics

MCQ

`sqrt(56+sqrt(56+sqrt(56+...)))÷ 2^2` = ?

Options

  • 0

  • 1

  • 2

  • 8

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Solution

2
Explanation:

Here, `sqrt(56+sqrt(56+sqrt56+...) `

`sqrt(8xx7+sqrt(8xx7+sqrt(8xx7+...)`

= 8

So, `sqrt(56+sqrt(56+sqrt(56+...)))÷ 2^2` = 8 ÷ 4

= `8/4` = 2

Concept: Simplification
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