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Popular >

simplify sqrt(10^3)

Solution

simplify

1 0^{3}

Solution

1010

+1

Decimal Notation

31.62277 \dots

Solution steps

1 0^{3}

Apply exponent rule:

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

1 0^{2 + 1} = 1 0^{2} \cdot 10

= 1 0^{2} \cdot 10

Apply radical rule:

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

1 0^{2} \cdot 10 = 1 0^{2} 10

= 1 0^{2} 10

Apply radical rule:

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

1 0^{2} = 10

= 1010

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Frequently Asked Questions (FAQ)

What is sqrt(10^3) ?
The solution to sqrt(10^3) is 10sqrt(10)