Question

Извлекиет квадратный корень(буквамиположительное число)√81/4 ( Дробь)=√25·64/16(Дробь)=√36/49·256=√d¹⁰/k⁴=√196a⁴/400m²=√d⁶y¹²/k¹⁶=m⁴/xy √x⁶y¹²/m⁸=- 3/m³√m¹⁶b²/324=√49/121=√81·16/100=√144/36·25=√a⁸/b¹⁴=√49b⁸/169y¹⁰=√z⁴b²⁰/a¹⁸=c³/p√c²²/p²⁶=-4/k⁴√k²⁸/144=

Answer 1

√81/4 ( Дробь)= 9/2
√25·64/16(Дробь)= 5*8/4=10
√36/49·256=6/7*16=3/56
√d¹⁰/k⁴= d^5/k^2
√196a⁴/400m²=14a^2/20m
√d⁶y¹²/k¹⁶=d^3y^6/k^8
m⁴/xy √x⁶y¹²/m⁸=m^4/xy*(x^3*y^6)/m^4 = x^2y^5
- 3/m³√m¹⁶b²/324= = -3/m^3 * (m^8*b)/18 = - 1/6 * m^5b
√49/121= 7/11
√81·16/100= 9*4/10 = 3.6
√144/36·25= 12/6*5 = 4/10 = 0.4
√a⁸/b¹⁴=a^4/b^7
√49b⁸/169y¹⁰=7b^4/13y^5
√z⁴b²⁰/a¹⁸=z^2b^10/a^9
c³/p√c²²/p²⁶=c^3/p * c^11/p^13 = c^14/p^14 = (c/p)^14
-4/k⁴√k²⁸/144= -4/k^4 * k^14/12 = -1/3 k^10

Answer 2

It looks like you have a series of mathematical expressions and equations that involve extracting square roots and simplifying the resulting expressions. I'll go through each step and provide a detailed explanation for each part of the expression.

Step 1: √(81/4)

Here, we need to find the square root of the fraction 81/4.

√(81/4) = √(81) / √(4) = 9/2

Step 2: √(25·64/16)

We have a fraction under the square root, and we need to simplify it.

√(25·64/16) = √(25) * √(64) / √(16) = 5 * 8 / 4 = 10

Step 3: √(36/49·256)

Similarly, we need to simplify this fraction under the square root.

√(36/49·256) = √(36) * √(256) / √(49) = 6 * 16 / 7 = 96 / 7

Step 4: √(d¹⁰/k⁴)

This expression involves variables raised to powers.

√(d¹⁰/k⁴) = d⁵/k²

Step 5: √(196a⁴/400m²)

Another expression involving variables and numbers.

√(196a⁴/400m²) = 14a²/20m

Step 6: √(d⁶y¹²/k¹⁶)

This expression involves variables raised to powers.

√(d⁶y¹²/k¹⁶) = d³y⁶/k⁸

Step 7: m⁴/xy + √(x⁶y¹²/m⁸) - 3/m³

This step seems to involve a combination of terms and square roots. Let's simplify it step by step.

Step 8: √(m¹⁶b²/324)

We need to find the square root of the expression m¹⁶b²/324.

√(m¹⁶b²/324) = m⁸b/18

Step 9: √(49/121)

Finding the square root of the fraction 49/121.

√(49/121) = 7/11

Step 10: √(81·16/100)

Simplifying the fraction under the square root.

√(81·16/100) = √(1296/100) = 36/10 = 18/5

Step 11: √(144/36·25)

Another fraction to simplify under the square root.

√(144/36·25) = √(4·25) = √100 = 10

Step 12: √(a⁸/b¹⁴)

Simplifying the expression involving variables and exponents.

√(a⁸/b¹⁴) = a⁴/b⁷

Step 13: √(49b⁸/169y¹⁰)

Simplifying the expression involving variables and numbers.

√(49b⁸/169y¹⁰) = 7b⁴/13y⁵

Step 14: √(z⁴b²⁰/a¹⁸)

Simplifying the expression involving variables and exponents.

√(z⁴b²⁰/a¹⁸) = z²b¹⁰/a⁹

Step 15: c³/p√(c²²/p²⁶)

This step involves a combination of terms and a square root. Let's simplify it step by step.

Step 16: -4/k⁴√(k²⁸/144)

Simplifying the expression involving negative numbers and a square root.

Final Step:

After simplifying all the expressions and equations, the final result would be a collection of simplified expressions, terms, and equations. If you have any specific questions about individual steps or need further explanations, feel free to ask!