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Popular >

simplify sqrt(840)

Solution

simplify

840

Solution

2210

+1

Decimal Notation

28.98275 \dots

Solution steps

840

Prime factorization of

840 : 2^{3} \cdot 3 \cdot 5 \cdot 7

= 2^{3} \cdot 3 \cdot 5 \cdot 7

Apply exponent rule:

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

2^{3} \cdot 3 \cdot 5 \cdot 7 = 2^{2} \cdot 2 \cdot 3 \cdot 5 \cdot 7

= 2^{2} \cdot 2 \cdot 3 \cdot 5 \cdot 7

Apply radical rule:

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

2^{2} \cdot 2 \cdot 3 \cdot 5 \cdot 7 = 2^{2} 2 \cdot 3 \cdot 5 \cdot 7

= 2^{2} 2 \cdot 3 \cdot 5 \cdot 7

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 3 \cdot 5 \cdot 7

Multiply the numbers:

2 \cdot 3 \cdot 5 \cdot 7 = 210

= 2210

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Frequently Asked Questions (FAQ)

What is sqrt(840) ?
The solution to sqrt(840) is 2sqrt(210)