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Popular >

simplify \sqrt[4]{400}

Solution

simplify

Solution

25

+1

Decimal Notation

4.47213 \dots

Solution steps

Factor the number:

400 = 2 0^{2}

Apply exponent rule:

a^{b c} = (a^{b})^{c}

2 0^{2} = 2 0^{0.5 \cdot 4} = (20)^{4}

Apply radical rule:

assuming

a \geq 0

= 20

20 = 25

= 25

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{400} ?
The solution to \sqrt[4]{400} is 2sqrt(5)