Math
posted by Emily .
How do you find a square root of a number that's not a perfect square? I'm very confused. The book doesn't explain it too well.
You can approximate it or simplify it in terms of (products of) square roots of smaller numbers.
E.g. consider sqrt[117]
The number 177 can be factored:
117 = 9*13
So we have:
sqrt[177] = sqrt[9*13] =
sqrt[9]*sqrt[13] = 3 sqrt[13]
Cases like:
sqrt[a]/sqrt[b]
can be rewritten by multiplying numerator and denominator by sqrt[b]:
sqrt[a]/sqrt[b] =
sqrt[a]*sqrt[b]/(sqrt[b]*sqrt[b]) =
sqrt[a]*sqrt[b]/b
Respond to this Question
Similar Questions

Math
Which numbers are perfect squares? A) 64 b)900 c)120 d)1000 e)100 F) 10 000 How do u know each number is a perfect square? 
7th grade math Ms. Sue please
2. Shelly sews a blanket that has an area of 170 square feet. It has 30 square blocks, each the same size. What is the approximate length of each side of a block? 
Algebra
Rationalize each expression by building perfect nth root factors for each denominator. Assume all variables represent positive quantities. I don’t understand how to compute these. Also I don’t have the square root sign so I typed … 
College Algebra
I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root … 
College Algebra help please
I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root … 
College Algebra
I need some help with a handful of questions. I need to see the steps on how to get to the final answers. I would also appreciate if you can explain how you got to those steps. Rationalize each expression by building perfect nth root … 
Math simplifying mixed radicals
Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root: 2 square root 48 3 square root 81 6 square root 12 … 
Math simplifying mixed radicals
Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root and the numbers infront of the square root are supposed … 
Math
1. Rosa, Roberto, Andrea, and Inno find an estimate for square root 10. Who has proposed the best solution? 
MATH
1. Rosa, Roberto, Andrea, and Inno find an estimate for square root 10. Who has proposed the best solution?