simplify sqrt(15^3)

Solution

simplify

1 5^{3}

1515

Decimal Notation

58.09475 \dots

Solution steps

1 5^{3}

Apply exponent rule:

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

1 5^{2 + 1} = 1 5^{2} \cdot 15

= 1 5^{2} \cdot 15

Apply radical rule:

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

1 5^{2} \cdot 15 = 1 5^{2} 15

= 1 5^{2} 15

Apply radical rule:

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

1 5^{2} = 15

= 1515

\frac{- 4 ( x ^{2} - 1 ) ^{2} + 4 x \cdot 2 ( x ^{2} - 1 ) 2 x}{( x ^{2} - 1 ) ^{4}}

15 n - 19 n

\frac{\frac{x - 3}{2} + \frac{1}{x}}{\frac{1}{x} - \frac{1}{x ^{2}}}

\frac{x ^{2} - 3 x - 10}{x ^{2} - 7 x + 10}

(x^{2} - 5 x - 2) - (- 6 x^{2} - 7 x - 3)