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:

Find x. sqrtx-2=10

Find xx.\newlinex−2=10 \sqrt{x}-2=10

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Multiply radical expressionsright chevron icon

Full solution

Q. Find xx.\newlinex−2=10 \sqrt{x}-2=10
  1. Add 22 to isolate square root: Isolate the square root term by adding 22 to both sides of the equation.\newline7x−2+2=10+27\sqrt{x} - 2 + 2 = 10 + 2\newline7x=127\sqrt{x} = 12
  2. Divide by 77: Divide both sides of the equation by 77 to solve for x\sqrt{x}.7x7=127\frac{7\sqrt{x}}{7} = \frac{12}{7}x=127\sqrt{x} = \frac{12}{7}
  3. Square both sides: Square both sides of the equation to eliminate the square root and solve for xx.
    (x)2=(127)2(\sqrt{x})^2 = (\frac{12}{7})^2
    x=(127)×(127)x = (\frac{12}{7}) \times (\frac{12}{7})
    x=14449x = \frac{144}{49}
  4. Simplify fraction: Simplify the fraction to get the final answer. \newlinex=14449x = \frac{144}{49}\newlinex=14449x = \frac{144}{49}

More problems from Multiply radical expressions

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

Posted 3 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 3 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 3 months ago

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

Posted 1 month ago

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

Posted 3 months ago

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

Posted 3 months ago

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

Posted 3 months ago

Question
Simplify the radical expression. 14x14 \sqrt{14x^{14}} Write your answer in the form A A , B \sqrt{B} , or AB A\sqrt{B} , where A A and B B are constants or expressions in x x . Use at most one radical in your answer, and at most one absolute value symbol in your expression for A A . ______
Get tutor helpright-arrow

Posted 3 months ago

Question
Simplify the radical expression.\newline12x12\sqrt{12x^{12}}\newlineWrite your answer in the form AA, B\sqrt{B}, or ABA\sqrt{B}, where AA and BB are constants or expressions in xx. Use at most one radical in your answer, and at most one absolute value symbol in your expression for AA.\newline‾\underline{\hspace{3cm}}
Get tutor helpright-arrow

Posted 3 months ago

Question
What is the value of sin⁡(5π6)? \sin \left(\frac{5 \pi}{6}\right) ? \newlineChoose 11 answer:\newline(A) −32 -\frac{\sqrt{3}}{2} \newline(B) −22 -\frac{\sqrt{2}}{2} \newline(C) 12 \frac{1}{2} \newline(D) 150150
Get tutor helpright-arrow

Posted 4 months ago

View all (19)