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Popular >

simplify sqrt(3456)

Solution

simplify

3456

Solution

246

+1

Decimal

58.78775 \dots

Solution steps

3456

Prime factorization of

3456 : 2^{7} \cdot 3^{3}

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

Apply exponent rule:

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

2^{7} \cdot 3^{3} = 2^{6} \cdot 2 \cdot 3^{2} \cdot 3

= 2^{6} \cdot 2 \cdot 3^{2} \cdot 3

2^{6} \cdot 2 \cdot 3^{2} \cdot 3 = 2^{6} 3^{2} 2 \cdot 3

= 2^{6} 3^{2} 2 \cdot 3

2^{6} = 8

= 8 3^{2} 2 \cdot 3

Apply radical rule:

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

3^{2} = 3

= 8 \cdot 3 2 \cdot 3

Multiply the numbers:

8 \cdot 3 = 24

= 24 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 246

Popular Examples

4 x - 9 = 2 x + 3

84*7/10-84*3/10+84*3/5

84 \cdot \frac{7}{10} - 84 \cdot \frac{3}{10} + 84 \cdot \frac{3}{5}

∣ x + 2 ∣ - 4 = 12

(x - 2)^{2} \leq 0

∣ x + 3 ∣ + 2 \geq 6

Frequently Asked Questions (FAQ)

What is sqrt(3456) ?
The solution to sqrt(3456) is 24sqrt(6)