What is 3/4 sqrt(48) ?

The solution to 3/4 sqrt(48) is 3sqrt(3)

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simplify 3/4 sqrt(48)

simplify

\frac{3}{4} 48

33

Decimal Notation

5.19615 \dots

Solution steps

\frac{3}{4} 48

Prime factorization of

48 : 2^{4} \cdot 3

= \frac{3}{4} 2^{4} \cdot 3

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

2^{4} \cdot 3 = 2^{4} 3

= \frac{3}{4} 2^{4} 3

2^{4} = 4

= \frac{3}{4} \cdot 43

Convert

4

to fraction

: \frac{4}{1}

= \frac{3}{4} \cdot \frac{4}{1} 3

Cross-cancel common factor:

4

= \frac{3}{1} 3

Divide the numbers:

\frac{3}{1} = 3

= 33

16 \div \frac{2}{3}

\frac{1}{- 1 - \frac{1}{- 1 - \frac{1}{3}}}

(1 + 4 i)^{3}

\frac{1}{x + 3}