Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify: sqrt5(2sqrt(6x)-sqrt(96 x))

Simplify: 5(26x−96x)\sqrt{5}(2\sqrt{6x}-\sqrt{96x})

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Precalculusright chevron icon
Solve radical equationsright chevron icon

Full solution

Q. Simplify: 5(26x−96x)\sqrt{5}(2\sqrt{6x}-\sqrt{96x})
  1. Simplify Inside Fifth Root: Simplify the expression inside the fifth root.\newlineCalculation: 96x=96⋅x=4⋅6x\sqrt{96x} = \sqrt{96}\cdot\sqrt{x} = 4\cdot\sqrt{6x}\newlineReasoning: Simplify 96\sqrt{96} as 4⋅64\cdot\sqrt{6}.
  2. Substitute Simplified Expression: Substitute the simplified expression back into the original equation.\newlineCalculation: 26x−46x=−26x2\sqrt{6x} - 4\sqrt{6x} = -2\sqrt{6x}\newlineReasoning: Combine like terms.
  3. Apply Fifth Root: Apply the fifth root to the simplified expression.\newlineCalculation: −26x5\sqrt[5]{-2\sqrt{6x}}\newlineReasoning: Apply the fifth root to the entire expression.

More problems from Solve radical equations

Question
What is the domain of this function? \newliney=xy = \sqrt{x} \newlineChoices: \newline{x∣x≥0}\{x|x \geq 0\}\newline{x∣x≤0}\{x|x \leq 0\}\newline{x∣x<0}\{x | x < 0\}\newline{x∣x>0}\{x|x>0\}
Get tutor helpright-arrow

Posted 9 months ago

Question
Find the real-number root. \newline16\sqrt{16}\newline\newlineWrite your answer in simplified form. \newline____\_\_\_\_
Get tutor helpright-arrow

Posted 9 months ago

Question
Find the real-number root. \newline916\sqrt{\frac{9}{16}}\newlineSimplify your answer and write it as a decimal or as a proper or improper fraction.\newline_____\_\_\_\_\_
Get tutor helpright-arrow

Posted 9 months ago

Question
Find the real-number root using a calculator. Round your answer to the nearest thousandth. \newline`\sqrt{957} `\newline _______
Get tutor helpright-arrow

Posted 9 months ago

Question
Multiply. Write your answer in simplest form. \newline273×42\sqrt{273} \times \sqrt{42}\newline______
Get tutor helpright-arrow

Posted 7 months ago

Question
Simplify. \newline634\sqrt{\frac{63}{4}}\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Simplify. Rationalize the denominator.\newline−49−2\frac{-4}{9 - \sqrt{2}}\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Solve for z z .\newline16=z 16 = \sqrt{z} \newlinez= z = _____
Get tutor helpright-arrow

Posted 9 months ago

Question
Solve for p p .\newline8=p 8 = \sqrt{p} \newlinep= p = _____
Get tutor helpright-arrow

Posted 9 months ago

Question
Solve for p p .\newline4p=10+3p \sqrt{4p} = \sqrt{10 + 3p} \newlinep= p = _____
Get tutor helpright-arrow

Posted 5 months ago

View all (153)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant