## anonymous 5 years ago 13^2= square root or 177+b^2?????

1. anonymous

okey dokey

2. anonymous

169 = 177+b^2 subtract 177 from both sides to isolate b^2

3. anonymous

4. anonymous

$169 = \sqrt{177+b ^{2}}$

5. anonymous

square both sides to find $28561=177+b ^{2}$

6. anonymous

subtract 177 from both sides: 28394=b^2

7. anonymous

take the square root of both sides to solve for b $\sqrt{28384} = b = 168.476$ (approximately)

8. anonymous

oh so i don't square root the 177 til the end???

9. anonymous

was the original problem $13^{2}=\sqrt{177+b ^{2}}$?

10. anonymous

yes

11. anonymous

We never had to find the square root of 177 by itself

12. anonymous

If you square a square root, the square root goes away. That's what I did to find 28561=177+b^2

13. anonymous

from there I subtracted 177 from both sides to get the variable by itself

14. anonymous

so then the equation becomes $28384 = b ^{2}$

15. anonymous

then to solve for b, i took the square root of both sides