What is (17)/(sqrt(72)) ?

The solution to (17)/(sqrt(72)) is (17)/(6sqrt(2))

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simplify (17)/(sqrt(72))

simplify

\frac{17}{72}

\frac{17}{6 2}

Decimal Notation

2.00346 \dots

Solution steps

\frac{17}{72}

Prime factorization of

72 : 2^{3} \cdot 3^{2}

= \frac{17}{2 ^{3} \cdot 3 ^{2}}

Apply exponent rule:

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

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

= \frac{17}{2 ^{2} \cdot 2 \cdot 3 ^{2}}

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

= \frac{17}{2 ^{2} 2 3 ^{2}}

Apply radical rule:

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

2^{2} = 2

= \frac{17}{2 2 3 ^{2}}

Apply radical rule:

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

3^{2} = 3

= \frac{17}{2 2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= \frac{17}{6 2}

\frac{1}{3 + 2}

\frac{1}{3} \times \frac{1}{5}

7 \times 6

7 \times (- 2)

5 27 x - 75 x