What is sqrt(12 1/4) ?

The solution to sqrt(12 1/4) is 3 1/2

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simplify sqrt(12 1/4)

simplify

12 \frac{1}{4}

3 \frac{1}{2}

Decimal Notation

3.5

Solution steps

12 \frac{1}{4}

Convert mixed numbers to improper fractions:

12 \frac{1}{4} = \frac{49}{4}

= \frac{49}{4}

Apply radical rule:

\frac{a}{b} = \frac{a}{b}, a \geq 0, b \geq 0

= \frac{49}{4}

49 = 7

= \frac{7}{4}

4 = 2

= \frac{7}{2}

Convert improper fractions to mixed numbers:

\frac{7}{2} = 3 \frac{1}{2}

= 3 \frac{1}{2}

\frac{1}{16} - \frac{1}{4}

\frac{\frac{x ^{2} + 9 x + 18}{7 x + 42}}{\frac{x ^{2} - 9}{x}}

(6 a^{2} - b)^{2}

(x + 15)^{2}

\frac{105}{2}