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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

Solutions > Radicals Product Rule Calculator >

cube root of 625

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

π

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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simplify ³√625

Solution

5³√5

Decimal

8.54987…

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Solution steps

One step at a time

³√625

Prime factorization of 625: 5⁴

=³√5⁴

Apply exponent rule: a^b+c=a^b· a^c

5⁴=5³· 5

=³√5³· 5

Apply radical rule: ⁿ√ab=ⁿ√aⁿ√b, a≥0, b≥0

³√5³· 5=³√5³³√5

=³√5³³√5

Apply radical rule: ⁿ√aⁿ=a, a≥0

³√5³=5

=5³√5

Radicals Product Rule Examples

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