`7 [sqrt(m+1) - 3] = 21`I need to find a way to solve (for m): `7 [sqrt(m+1)- 3] = 21`  

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jeew-m eNotes educator| Certified Educator

`7(sqrt(m+1)-3) = 21`

`sqrt(m+1)-3 = 21/7`

`sqrt(m+1)-3 = 3`

`sqrt(m+1) = 6`

Get the power of 2 in both sides.

`(sqrt(m+1))^2 = 6^2`

`m+1 = 36`

   ` m = 35`

 

So the answer is m = 35.

 

oldnick | Student

`7[sqrt(m+1)-3]=21`

`sqrt(m+1)-3=3`

`sqrt(m+1)=6`  ` m+1=36`    `m=35`

Prabhath cvl | Student

Im using 1/2 power in order to square root

7((m+1)1/2 -3) =21

Divided by 7

(m+1)1/2-3=3

(m+1)1/2 = 6

Get Power of both sides

(m+1)=36

m=35

Answer is m=35

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