6√2
Square root of 72 in simplified form is written as 6√2.

Can the square root of 22 be simplified?

The square root of 22 is already in its simplest radical form and cannot be simplified.

How do you simplify square roots?

Understand factoring. The goal of simplifying a square root is to rewrite it in a form that is easy to understand and to use in math problems.

  • Divide by the smallest prime number possible. If the number under the square root is even,divide it by 2.
  • Rewrite the square root as a multiplication problem. Keep everything underneath the square root sign,and don’t forget to include both factors.
  • Repeat with one of the remaining numbers. Before we can simplify the square root,we keep factoring it until we’ve broken it down into two identical parts.
  • Finish simplifying by “pulling out” an integer. Once you’ve broken the problem down into two identical factors,you can turn that into a regular integer outside the square root.
  • Multiply integers together if there are more than one. With some large square roots,you can simplify more than once.
  • Write “cannot be simplified” if there are no two identical factors. Some square roots are already in simplest form.

    • How do you simplify the square root of a number?

    To simplify a square root, you just have to factor the number and pull the roots of any perfect squares you find out of the radical sign. Once you’ve memorized a few common perfect squares and know how to factor a number, you’ll be well on your way to simplifying the square root.

    How do you simplify a square root with a variable?

    Simplifying square roots with variables is similar to simplifying square roots without variables. Treat the variable as a factor–if it appears twice (x2), cross out both and write the factor (x) one time to the left of the square root sign.

    How to multiply square roots?

    Multiply the radicands.

  • Factor out any perfect squares in the radicand.
  • Place the square root of the perfect square in front of the radical sign.
  • Square a square root.
  • Multiply the coefficients.
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