What is (sqrt(5n))/(2sqrt(15n^4)) ?

The solution to (sqrt(5n))/(2sqrt(15n^4)) is (sqrt(n))/(2sqrt(3)n^2)

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simplify (sqrt(5n))/(2sqrt(15n^4))

simplify

\frac{5 n}{2 15 n ^{4}}

\frac{n}{2 3 n ^{2}}

Solution steps

\frac{5 n}{2 15 n ^{4}}

Simplify

15 n^{4} : 15 n^{2}

= \frac{5 n}{2 15 n ^{2}}

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

5 n = 5 n

= \frac{5 n}{2 15 n ^{2}}

Factor

15 : 53

= \frac{5 n}{2 5 3 n ^{2}}

Cancel the common factor:

5

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

7 x - 3 > - 10

x^{2} - 3 x \geq 0

4^{2}

4 - y^{2} = y - 2

8 a^{3} + 125 b^{3}

What is (sqrt(5n))/(2sqrt(15n^4)) ?
The solution to (sqrt(5n))/(2sqrt(15n^4)) is (sqrt(n))/(2sqrt(3)n^2)