diff --git a/src/builtin/modules/math.rs b/src/builtin/modules/math.rs
index 07d64af..d9f9b11 100644
--- a/src/builtin/modules/math.rs
+++ b/src/builtin/modules/math.rs
@@ -102,7 +102,74 @@ fn clamp(mut args: CallArgs, parser: &mut Parser<'_>) -> SassResult<Value> {
 }
 
 fn hypot(mut args: CallArgs, parser: &mut Parser<'_>) -> SassResult<Value> {
-    todo!()
+    args.min_args(1)?;
+
+    let span = args.span();
+
+    let mut numbers = args.get_variadic()?.into_iter().map(|v| -> SassResult<_> {
+        match v.node {
+            Value::Dimension(n, u, ..) => Ok((n, u)),
+            v => Err((format!("{} is not a number.", v.inspect(span)?), span).into()),
+        }
+    });
+
+    let first: (Number, Unit) = match numbers.next().unwrap()? {
+        (Some(n), u) => (n.clone() * n, u),
+        (None, u) => return Ok(Value::Dimension(None, u, true)),
+    };
+
+    let rest = numbers
+        .enumerate()
+        .map(|(idx, val)| -> SassResult<Option<Number>> {
+            let (number, unit) = val?;
+            if first.1 == Unit::None {
+                if unit == Unit::None {
+                    Ok(number.map(|n| n.clone() * n))
+                } else {
+                    Err((
+                        format!(
+                            "Argument 1 is unitless but argument {} has unit {}. \
+                            Arguments must all have units or all be unitless.",
+                            idx + 2,
+                            unit
+                        ),
+                        span,
+                    )
+                        .into())
+                }
+            } else if unit == Unit::None {
+                Err((
+                    format!(
+                        "Argument 1 has unit {} but argument {} is unitless. \
+                        Arguments must all have units or all be unitless.",
+                        first.1,
+                        idx + 2,
+                    ),
+                    span,
+                )
+                    .into())
+            } else if first.1.comparable(&unit) {
+                Ok(number
+                    .map(|n| n.convert(&unit, &first.1))
+                    .map(|n| n.clone() * n))
+            } else {
+                Err((
+                    format!("Incompatible units {} and {}.", first.1, unit),
+                    span,
+                )
+                    .into())
+            }
+        })
+        .collect::<SassResult<Option<Vec<Number>>>>()?;
+
+    let rest = match rest {
+        Some(v) => v,
+        None => return Ok(Value::Dimension(None, first.1, true)),
+    };
+
+    let sum = first.0 + rest.into_iter().fold(Number::zero(), |a, b| a + b);
+
+    Ok(Value::Dimension(sum.sqrt(), first.1, true))
 }
 
 fn log(mut args: CallArgs, parser: &mut Parser<'_>) -> SassResult<Value> {
@@ -421,6 +488,7 @@ pub(crate) fn declare(f: &mut Module) {
     f.insert_builtin("atan", atan);
     f.insert_builtin("log", log);
     f.insert_builtin("pow", pow);
+    f.insert_builtin("hypot", hypot);
     #[cfg(feature = "random")]
     f.insert_builtin("random", random);
 
diff --git a/src/value/number/mod.rs b/src/value/number/mod.rs
index a95a81a..cff80a5 100644
--- a/src/value/number/mod.rs
+++ b/src/value/number/mod.rs
@@ -12,6 +12,8 @@ use num_traits::{
     CheckedAdd, CheckedDiv, CheckedMul, CheckedSub, Num, One, Signed, ToPrimitive, Zero,
 };
 
+use crate::unit::{Unit, UNIT_CONVERSION_TABLE};
+
 use integer::Integer;
 
 mod integer;
@@ -134,6 +136,11 @@ impl Number {
             self.as_float()?.powf(exponent.as_float()?),
         )?)))
     }
+
+    /// Invariants: `from.comparable(&to)` must be true
+    pub fn convert(self, from: &Unit, to: &Unit) -> Self {
+        self * UNIT_CONVERSION_TABLE[to.to_string().as_str()][from.to_string().as_str()].clone()
+    }
 }
 
 macro_rules! trig_fn(
diff --git a/tests/math-module.rs b/tests/math-module.rs
index 2915c28..f1addb4 100644
--- a/tests/math-module.rs
+++ b/tests/math-module.rs
@@ -446,3 +446,52 @@ test!(
     "@use 'sass:math';\na {\n  color: math.pow(2, 0);\n}\n",
     "a {\n  color: 1;\n}\n"
 );
+test!(
+    hypot_all_same_unit,
+    "@use 'sass:math';\na {\n  color: math.hypot(1px, 2px, 3px, 4px, 5px);\n}\n",
+    "a {\n  color: 7.4161984871px;\n}\n"
+);
+test!(
+    hypot_negative,
+    "@use 'sass:math';\na {\n  color: math.hypot(1px, 2px, 3px, 4px, 5px, -20px);\n}\n",
+    "a {\n  color: 21.3307290077px;\n}\n"
+);
+test!(
+    hypot_all_different_but_comparable_unit,
+    "@use 'sass:math';\na {\n  color: math.hypot(1in, 2cm, 3mm, 4pt, 5pc);\n}\n",
+    "a {\n  color: 1.5269191636in;\n}\n"
+);
+test!(
+    hypot_all_no_unit,
+    "@use 'sass:math';\na {\n  color: math.hypot(1, 2, 3);\n}\n",
+    "a {\n  color: 3.7416573868;\n}\n"
+);
+test!(
+    hypot_nan_has_comparable_unit,
+    "@use 'sass:math';\na {\n  color: math.hypot(1deg, 2deg, math.acos(2));\n}\n",
+    "a {\n  color: NaNdeg;\n}\n"
+);
+error!(
+    hypot_no_args,
+    "@use 'sass:math';\na {\n  color: math.hypot();\n}\n",
+    "Error: At least one argument must be passed."
+);
+error!(
+    hypot_first_has_no_unit_third_has_unit,
+    "@use 'sass:math';\na {\n  color: math.hypot(1, 2, 3px);\n}\n",
+    "Error: Argument 1 is unitless but argument 3 has unit px. Arguments must all have units or all be unitless."
+);
+error!(
+    hypot_non_numeric_argument,
+    "@use 'sass:math';\na {\n  color: math.hypot(1, red, 3);\n}\n", "Error: red is not a number."
+);
+error!(
+    hypot_units_not_comparable,
+    "@use 'sass:math';\na {\n  color: math.hypot(1px, 2in, 3rem);\n}\n",
+    "Error: Incompatible units px and rem."
+);
+error!(
+    hypot_nan_has_no_unit_but_first_has_unit,
+    "@use 'sass:math';\na {\n  color: math.hypot(1deg, 2deg, (0 / 0));\n}\n",
+    "Error: Argument 1 has unit deg but argument 3 is unitless. Arguments must all have units or all be unitless."
+);