What is the value of \sqrt{42+\sqrt{42+\sqrt{42+....}}?

Powers and Roots Practice Test 3

Question : 34 of 40

Marks: +1, -0

What is the value of

√{42+√{42+√{42+....}}}?

Solution:

√{42+√{42+√{42+....}}}?

Factorize 42 in two consecutive natural numbers 42 = 6 × 7
The greater number is the required square root.
Hence,

√{42+√{42+√{42+....}}}=7

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