square roots math questions?

Question

I'm really haveing a hard time with these problems could someone help. Thanks.

1. sqrt 3x to the power of 5 y to the power of 14

2. sqrt 150

3. sqrt 24

4. sqrt 75 x to the power of 2 y to the power of 3

Answer 1

1 and 4 - These can't be answered without knowing the value of X and Y or having a way to work them out. Whatever numbers X and Y are the answers are going to be large numbers.

2 - 12.247

3 - 4.899

To find the square root of a number use a calculator (it's not the sort of thing you can work out with a pencil and paper). Key the number into the calculator and press the square root button (looks like a tick sign).

Answer 2

1. sqrt 3x to the power of 5 y to the power of 14
\/3x^5y^14 = xy^7\/3x

2. sqrt 150
150|2
075|3
025|5
005|5
1
2*3*5² = 150.
\/150 = 5\/6

3. sqrt 24
24|2
12|2
06|2
03|3
01
2³ * 3 = 24
\/24 = 2\/6

4. sqrt 75 x to the power of 2 y to the power of 3
\/75x²y³
75|3
25|5
05|5
01
\/x² = x
\/y³ = y\/y
\/75 = 5\/3
So,
\/75x²y³ = 5xy\/3y.
><

Answer 3

2. is approximately 12.24744871
3. is approximately 4.898979486
There is not enought info given to solve 1 and 4

Answer 4

#2 the answer is 12.24744871
#3 the answer is 4.898979486

Answer 5

1.)
sqrt(3x^5y^14)
sqrt(3 * (x^2)^2 * x * (y^7)^2)

ANS : (x^2 * y^7)sqrt(3x)

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2.)
sqrt(150) = sqrt(25 * 6) = 5sqrt(6)

----------------------------

3.)
sqrt(24) = sqrt(4 * 6) = 2sqrt(6)

ANS : 2sqrt(6)

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4.)
sqrt(75x^2y^3)
sqrt((25 * (x)^2 * (y)^2) * 3y)

ANS : (5xy)sqrt(3y)

Answer 6

1. sqrt 3xy^19
2.12.2 or 12.25
3.4.89 or 4.9
4. sqrt 75xy^5