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Simplify.Remove all perfect squares from inside the square root.
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Q. Simplify.Remove all perfect squares from inside the square root.
- Factorize the expression: Factorize the expression inside the square root to identify perfect squares.We need to factorize to see if there are any perfect squares that we can take out of the square root. The number is already in its prime factorized form , and can be written as , where is a perfect square.
- Rewrite with perfect square: Rewrite the square root with the perfect square separated.Now that we have identified as a perfect square, we can rewrite the square root as .
- Take perfect square out: Take the perfect square out of the square root.Since is a perfect square, we can take its square root out of the radical, which gives us .
- Check for remaining squares: Check for any remaining perfect squares and simplify the expression.There are no more perfect squares left inside the square root, so the expression is now fully simplified.
