What is the answer to sqrt(6+\sqrt{m+\sqrt{49)}}=3 ?

The answer to sqrt(6+\sqrt{m+\sqrt{49)}}=3 is m=2

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sqrt(6+\sqrt{m+\sqrt{49)}}=3

6 + m + 49 = 3

m = 2

Solution steps

6 + m + 49 = 3

Square both sides:

6 + m + 49 = 9

6 + m + 49 = 9

Move

6

to the right side

m + 49 = 3

Square both sides:

m + 7 = 9

m + 7 = 9

Solve

m + 7 = 9 : m = 2

m = 2

Verify Solutions:

m = 2

True

The solution is

m = 2

x - 4 + 9 = 14

x^{- \frac{1}{4}} = \frac{1}{3}

- 5 = 3 x - 3

0 = r + 1

What is the answer to sqrt(6+\sqrt{m+\sqrt{49)}}=3 ?
The answer to sqrt(6+\sqrt{m+\sqrt{49)}}=3 is m=2
Solve for m: sqrt(6+\sqrt{m+\sqrt{49)}}=3
The solution is m=2