diff --git a/src/components/SafeMarkup.test.tsx b/src/components/SafeMarkup.test.tsx
new file mode 100644
index 00000000..8d2ca488
--- /dev/null
+++ b/src/components/SafeMarkup.test.tsx
@@ -0,0 +1,22 @@
+import { render, waitFor } from '@testing-library/react'
+import { describe, expect, it } from 'vitest'
+import { renderMathToHtml } from '../utils/mathMarkdown'
+import { SafeHtmlSpan } from './SafeMarkup'
+
+describe('SafeHtmlSpan', () => {
+  it('preserves KaTeX SVG radicals used by square root notation', async () => {
+    const markup = renderMathToHtml({ latex: '\\sqrt{x}', displayMode: false })
+    const { container } = render(<SafeHtmlSpan markup={markup} />)
+
+    await waitFor(() => expect(container.querySelector('.katex svg path')).toBeInTheDocument())
+    expect(container.querySelector('.katex svg')).toHaveAttribute('viewBox')
+    expect(container.querySelector('.katex svg')).toHaveAttribute('preserveAspectRatio')
+  })
+
+  it('continues to remove script elements from sanitized markup', async () => {
+    const { container } = render(<SafeHtmlSpan markup="<span>safe</span><script>alert('x')</script>" />)
+
+    await waitFor(() => expect(container.querySelector('span')).toHaveTextContent('safe'))
+    expect(container.querySelector('script')).not.toBeInTheDocument()
+  })
+})
diff --git a/src/components/SafeMarkup.tsx b/src/components/SafeMarkup.tsx
index 27fcc587..2c554f44 100644
--- a/src/components/SafeMarkup.tsx
+++ b/src/components/SafeMarkup.tsx
@@ -17,10 +17,13 @@ const MERMAID_SVG_SANITIZE_CONFIG = {
   HTML_INTEGRATION_POINTS: { foreignobject: true },
 }
 
+const KATEX_MARKUP_SANITIZE_CONFIG = {
+  // KaTeX uses inline SVG paths for stretched radicals such as \sqrt{x}.
+  USE_PROFILES: { html: true, mathMl: true, svg: true },
+}
+
 function importSanitizedMarkupNodes(markup: string): Node[] {
-  const sanitized = DOMPurify.sanitize(markup, {
-    USE_PROFILES: { html: true, mathMl: true },
-  })
+  const sanitized = DOMPurify.sanitize(markup, KATEX_MARKUP_SANITIZE_CONFIG)
   const parsed = new DOMParser().parseFromString(sanitized, 'text/html')
   return Array.from(parsed.body.childNodes, (node) => document.importNode(node, true))
 }
diff --git a/tests/smoke/latex-math-notes.spec.ts b/tests/smoke/latex-math-notes.spec.ts
index 5a721f57..69955097 100644
--- a/tests/smoke/latex-math-notes.spec.ts
+++ b/tests/smoke/latex-math-notes.spec.ts
@@ -7,6 +7,7 @@ import { executeCommand, openCommandPalette } from './helpers'
 let tempVaultDir: string
 
 const INLINE_LATEX = 'E=mc^2'
+const SQRT_LATEX = '\\sqrt{x}'
 const DISPLAY_LATEX = '\\int_0^1 x^2 \\, dx = \\frac{1}{3}'
 const MALFORMED_LATEX = '\\frac{'
 const TABLE_INLINE_LATEX = '\\frac{a}{b}+c'
@@ -92,6 +93,14 @@ async function expectMathNode(page: Page, selector: string, latex: string): Prom
   ).toBe(true)
 }
 
+async function expectMathSvgPath(page: Page, latex: string): Promise<void> {
+  await expect.poll(async () =>
+    page.locator('.math').evaluateAll((nodes, expectedLatex) =>
+      nodes.some((node) => node.getAttribute('data-latex') === expectedLatex && Boolean(node.querySelector('svg path'))),
+    latex),
+  ).toBe(true)
+}
+
 function readNoteBFile(): string {
   return fs.readFileSync(path.join(tempVaultDir, 'note', 'note-b.md'), 'utf8')
 }
@@ -105,6 +114,8 @@ test('LaTeX math source round-trips through rich mode, save, and reopen @smoke',
 
 Inline math $${INLINE_LATEX}$ stays in prose.
 
+Square root $${SQRT_LATEX}$ should draw a stretched radical.
+
 $$
 ${DISPLAY_LATEX}
 $$
@@ -120,20 +131,24 @@ Malformed math $${MALFORMED_LATEX}$ stays visible.
   await setRawEditorContent(page, nextContent)
 
   await expect.poll(readNoteBFile).toContain(`$${INLINE_LATEX}$`)
+  await expect.poll(readNoteBFile).toContain(`$${SQRT_LATEX}$`)
   await expect.poll(readNoteBFile).toContain(`$$\n${DISPLAY_LATEX}\n$$`)
 
   await toggleRawMode(page, '.bn-editor')
 
   await expectMathNode(page, '.math--inline', INLINE_LATEX)
+  await expectMathNode(page, '.math--inline', SQRT_LATEX)
+  await expectMathSvgPath(page, SQRT_LATEX)
   await expectMathNode(page, '.math--inline', TABLE_INLINE_LATEX)
   await expectMathNode(page, '.math--block', DISPLAY_LATEX)
   await expectMathNode(page, '.math--inline', MALFORMED_LATEX)
   await expect(page.locator('table')).toHaveCount(1)
-  await expect(page.locator('.math .katex, .math .katex-error')).toHaveCount(4)
+  await expect(page.locator('.math .katex, .math .katex-error')).toHaveCount(5)
 
   await toggleRawMode(page, '.cm-content')
   const rawAfterRichMode = await getRawEditorContent(page)
   expect(rawAfterRichMode).toContain(`$${INLINE_LATEX}$`)
+  expect(rawAfterRichMode).toContain(`$${SQRT_LATEX}$`)
   expect(rawAfterRichMode).toContain(`$$\n${DISPLAY_LATEX}\n$$`)
   expect(rawAfterRichMode).toContain(`$${MALFORMED_LATEX}$`)
   expect(rawAfterRichMode).toContain(`$${TABLE_INLINE_LATEX}$`)
@@ -147,6 +162,7 @@ Malformed math $${MALFORMED_LATEX}$ stays visible.
 
   const reopenedRaw = await getRawEditorContent(page)
   expect(reopenedRaw).toContain(`$${INLINE_LATEX}$`)
+  expect(reopenedRaw).toContain(`$${SQRT_LATEX}$`)
   expect(reopenedRaw).toContain(`$$\n${DISPLAY_LATEX}\n$$`)
   expect(reopenedRaw).toContain(`$${MALFORMED_LATEX}$`)
   expect(reopenedRaw).toContain(`$${TABLE_INLINE_LATEX}$`)