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  "body": "\n## Definition\n\nLet $x$ be a real number with $x \\ge 0$.\nThe square root of $x$, written $\\sqrt{x}$, is the unique real number $y$ with $y \\ge 0$ and $y^2 = x$.\n\n## Remarks\n\nThe [[existence of square roots|068BZBXE0C]] shows that exactly one such $y$ exists.\nThe function $x \\mapsto \\sqrt{x}$ on $[0, \\infty)$ is increasing, and $\\sqrt{a b} = \\sqrt{a} \\sqrt{b}$ for $a, b \\ge 0$.\nFor each real $x$, $\\sqrt{x^2} = |x|$, the [[absolute value|00S7C68D51]] of $x$.\n\n## Explanations\n\n### L1 human\n\nThe square root of $x$ is the side length of a square with area $x$.\nThe equation $y^2 = 25$ has two solutions, $5$ and $-5$. The symbol $\\sqrt{25}$ means the positive one, $5$.\n",
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