What is simplify (sqrt(27))/(16) ?

The solution to simplify (sqrt(27))/(16) is (3sqrt(3))/(16)

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square root of 27/16

simplify

\frac{27}{16}

\frac{3 3}{16}

Decimal Notation

0.32475 \dots

Solution steps

\frac{27}{16}

Prime factorization of

27 : 3^{3}

= \frac{3 ^{3}}{16}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

= \frac{3 ^{2} \cdot 3}{16}

Apply radical rule:

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

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

= \frac{3 ^{2} 3}{16}

Apply radical rule:

a^{2} = a, a \geq 0

3^{2} = 3

= \frac{3 3}{16}

12 x^{3} + 9 x^{2} - 4 x - 3

x^{2} - 3 = 0

49 x^{3} + 14 x^{2} + x

x, 1.1 x + 1.2 x - 5.4 = - 10

3^{2} = 9

What is simplify (sqrt(27))/(16) ?
The solution to simplify (sqrt(27))/(16) is (3sqrt(3))/(16)