Math Problem Statement

roots(xrootsx)=roots(5roots5)

Solution

It seems like you're working with a mathematical expression involving roots, but the notation needs some clarification to proceed. Let me assume you meant the following equation:

x=5\sqrt{x} = \sqrt{5}

If this is correct, we can proceed to solve it.

Solution:

  1. Both sides of the equation are square roots, so we can square both sides to eliminate the square roots: (x)2=(5)2(\sqrt{x})^2 = (\sqrt{5})^2 This simplifies to: x=5x = 5

So, the solution is: x=5x = 5

If I misunderstood your notation, could you provide more details or rephrase it?

Would you like to see a detailed explanation of why squaring both sides works here?

Related Questions:

  1. What happens when you take the square root of a negative number?
  2. How do you solve equations involving cube roots?
  3. Can a square root equation have more than one solution?
  4. What is the relationship between exponents and roots?
  5. How do you solve an equation involving nested square roots?

Tip:

Always check if squaring both sides introduces extraneous solutions by plugging the result back into the original equation.

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Math Problem Analysis

Mathematical Concepts

Algebra
Radicals
Square Roots

Formulas

√x = √5
(√x)^2 = (√5)^2

Theorems

Properties of Square Roots
Equality of Radicals

Suitable Grade Level

Grades 6-8