SOLUTION: Ok, these type of problems scare me to no end. Can someone please help me with a step by step explanation. Thanks 1. sqrt w-9=8 2. not sure how to write this problem but it h

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Question 231256: Ok, these type of problems scare me to no end. Can someone please help me with a step by step explanation. Thanks
1. sqrt w-9=8
2. not sure how to write this problem but it has a 3, then the sqrt sign and inside the sqrt sign is -64.
3. this one is similar where it has 3 sqrt sign and 16 inside the sqrt.
Any help with either problem is greatly appreciated.

Found 2 solutions by josmiceli, texttutoring:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
I'll take a stab at them

sqare both sides

Add to both sides

--------------
This one looks like a cube root. When the
cube root is asked for, they are saying:
"What number multiplied by itself 3 times
will give the number under the cube root sign?
cube root() = because

---------------------------------
cube root() = cube root()
cube root() = cube root() x cube root()
cube root() = x cube root()
This is because

Answer by texttutoring(324)   (Show Source): You can put this solution on YOUR website!

1.
Square both sides to remove the square root sign.
(w-9)=64
w=73

2. What you are describing is the 3rd root of -64. Ask yourself, what number when multiplied by itself 3 times, equals -64?
The answer is -4 because (-4)*(-4)*(-4)=-64
Your calculator should have a 3rd root button.
3. Are you sure it wasn't a 4 sqrt sign and 16 inside the sqrt?
I ask because 16 does not have 3rd root that is a rational number.
However, the 4th root of 16 is 2, because 2*2*2*2=16

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