simplify (sqrt(5))/(sqrt(3)) — step-by-step solution

Let's simplify:

\frac{\sqrt{5}}{\sqrt{3}}

The conventional preference is to have numerical square roots in the numerator rather than in the denominator:

ⅰ

\frac{\sqrt{5}}{\sqrt{3}}

\frac{\sqrt{3} \times \sqrt{5}}{3}

\frac{\sqrt{3} \times \sqrt{5}}{3}

ⓘ Powers with the same exponent are multiplied by multiplying the bases:

\sqrt{3} \times \sqrt{5}

\sqrt{3 \times 5}

\frac{\sqrt{3 \times 5}}{3}

ⅰ

3 \times 5

15

▶Simplified form:

\frac{\sqrt{15}}{3}

The numeric value of:

\frac{\sqrt{15}}{3}

is:

\frac{\approx 3.8730}{3}

▷

\approx 1.2910