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Simplify square root of 50t^7w^11
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Solution:
Step:1
Decompose $50t^7w^{11}$ into $\left(5t^3w^5\right)^2 \cdot 2tw$.
S… |
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Simplify (x^3-729)/(x-9)
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Solution:
Step 1: Factor the numerator
- **Step 1.1**: Express $729$ as a cube of $9$, th… |
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Simplify square root of 54x^21
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Solution:
Step 1: Decompose $54x^{21}$ into prime factors and perfect squares.
1.1 Extra… |
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Simplify square root of 50x^5y^8
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Solution:
Step 1: Express the given expression in a factorizable form
Rewrite the express… |
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Simplify (x^4-8x^2+15)/(x^4-9)
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Solution:
Step 1: Simplify the numerator.
Step 1.1
Express $x^4$ as $(x^2)^2$.
$$\f… |
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Simplify (x^5-3x^3+px^3+q)/(x^2+x-2)
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Solution:
Step 1:
Identify two numbers whose multiplication equals $c$ and addition equa… |
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Simplify square root of 252x*(6y^3)*35
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Solution:
Step 1:
Multiply the numbers outside the square root. $\sqrt{1512x \cdot 35y^3… |
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Simplify square root of 200( square root of 2)
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Solution:
Step 1:
Apply the multiplication rule for square roots to combine the terms: $… |
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Simplify square root of 252x^9y^7
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Solution:
Step 1: Break down the expression under the square root
- Step 1.1: Factor 36 f… |
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Simplify square root of 6( square root of 3+5 squ…
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Solution:
Step 1:
Utilize the distributive property to expand: $\sqrt{6}(\sqrt{3} + 5\sqr… |
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Simplify ((x-4)/(x^2-x))/((x-1)/(2x^2+3x+1)-1/(x^…
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Solution:
Step:1
Take the reciprocal of the denominator and multiply it with the numerato… |
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Simplify (y^2+yx+3y+3x)/(y+3)
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Solution:
Step:1
Break down the numerator.
Step:1.1
Isolate common factors from each… |
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Simplify (y^2-3y-4)/(y^2-6y+8)
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Solution:
**Step 1**
Apply the AC method to factorize the numerator $y^2 - 3y - 4$.
**Step 1.… |
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Simplify (4^(2+n)*2^(4n+1)*8^(2-n))/(2^(3n+1))
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Solution:
Step:1
Eliminate the common base of $2^{4n+1}$ and $2^{3n+1}$.
Step:1.1
Ex… |
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Simplify ((21x-147)/(7x-63))/((x^2-49)/(x^2-3x-54…
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Solution:
Step 1: Simplify the numerator and denominator
Step 1.1: Factor out common … |
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Simplify (5/a-3/(a^2))/(3/(a^2)+5/a)
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Solution:
Step 1
Multiply both the top and bottom of the fraction by \(a^2\).
Step … |
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Simplify square root of 3(7-5 square root of 5)
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Solution:
Step 1:
Utilize the distributive law to expand $\sqrt{3} \times (7 - 5\sqrt{5}… |
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Simplify square root of 3 square root of 4 square…
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Solution:
Step 1:
Express the number 4 as a power of 2: $2^2$. Thus, the expression beco… |
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Simplify square root of 3( square root of 12+ squ…
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Solution:
Step 1:
Compute the product of $3$ and the expression within the square root, $… |
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Simplify square root of 32y^7
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Solution:
Step 1
Express $32y^{7}$ as the product of a perfect square and a remaining ter… |