What is (sqrt(1215))/(sqrt(5)) ?

The solution to (sqrt(1215))/(sqrt(5)) is 9sqrt(3)

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simplify (sqrt(1215))/(sqrt(5))

simplify

\frac{1215}{5}

93

Decimal Notation

15.58845 \dots

Solution steps

\frac{1215}{5}

Apply radical rule:

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

\frac{1215}{5} = \frac{1215}{5}

= \frac{1215}{5}

Divide the numbers:

\frac{1215}{5} = 243

= 243

Prime factorization of

243 : 3^{5}

= 3^{5}

Apply exponent rule:

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

3^{5} = 3^{4} \cdot 3

= 3^{4} \cdot 3

Apply radical rule:

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

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

= 3^{4} 3

3^{4} = 9

= 93

\frac{3}{7} + \frac{5}{4}

4 \cdot 22

10 (5 r - 5 s + 7)

12 x + 11 - 4

\frac{x + 1}{x - 1} - \frac{1}{x}

What is (sqrt(1215))/(sqrt(5)) ?
The solution to (sqrt(1215))/(sqrt(5)) is 9sqrt(3)