simplify sqrt(100/4)

{ "query": { "display": "simplify $$\\sqrt{\\frac{100}{4}}$$", "symbolab_question": "SIMPLIFY#simplify \\sqrt{\\frac{100}{4}}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "5", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\sqrt{\\frac{100}{4}}=5$$", "input": "\\sqrt{\\frac{100}{4}}", "steps": [ { "type": "step", "primary": "Divide the numbers: $$\\frac{100}{4}=25$$", "result": "=\\sqrt{25}" }, { "type": "step", "primary": "Factor the number: $$25=5^{2}$$", "result": "=\\sqrt{5^{2}}" }, { "type": "step", "primary": "Apply radical rule: $$\\sqrt{a^2}=a,\\:\\quad\\:a\\ge0$$", "secondary": [ "$$\\sqrt{5^{2}}=5$$" ], "result": "=5" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }