How does the fourteenth amendment show that segergated schools are illegal?

The Fourteenth Amendment guarantees equal protection under the law, which has been interpreted to prohibit racial discrimination in public education. In the landmark case Brown v. Board of Education (1954), the U.S. Supreme Court ruled that segregated schools are inherently unequal, violating the Equal Protection Clause of the Fourteenth Amendment. This decision effectively declared that state-sponsored segregation in public schools is unconstitutional, affirming that all students, regardless of race, are entitled to equal educational opportunities.