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Popular >

simplify sqrt(1026)

Solution

simplify

1026

Solution

3114

+1

Decimal Notation

32.03123 \dots

Solution steps

1026

Prime factorization of

1026 : 2 \cdot 3^{3} \cdot 19

= 2 \cdot 3^{3} \cdot 19

Apply exponent rule:

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

2 \cdot 3^{3} \cdot 19 = 2 \cdot 3^{2} \cdot 3 \cdot 19

= 2 \cdot 3^{2} \cdot 3 \cdot 19

Apply radical rule:

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

2 \cdot 3^{2} \cdot 3 \cdot 19 = 3^{2} 2 \cdot 3 \cdot 19

= 3^{2} 2 \cdot 3 \cdot 19

Apply radical rule:

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

3^{2} = 3

= 3 2 \cdot 3 \cdot 19

Multiply the numbers:

2 \cdot 3 \cdot 19 = 114

= 3114

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simplify sqrt(196)simplify

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Frequently Asked Questions (FAQ)

What is sqrt(1026) ?
The solution to sqrt(1026) is 3sqrt(114)