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Popular >

simplify sqrt(64800)

Solution

simplify

64800

Solution

1802

+1

Decimal Notation

254.55844 \dots

Solution steps

64800

Prime factorization of

64800 : 2^{5} \cdot 3^{4} \cdot 5^{2}

= 2^{5} \cdot 3^{4} \cdot 5^{2}

Apply exponent rule:

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

2^{5} \cdot 3^{4} \cdot 5^{2} = 2^{4} \cdot 2 \cdot 3^{4} \cdot 5^{2}

= 2^{4} \cdot 2 \cdot 3^{4} \cdot 5^{2}

2^{4} \cdot 2 \cdot 3^{4} \cdot 5^{2} = 2^{4} 2 3^{4} 5^{2}

= 2^{4} 2 3^{4} 5^{2}

2^{4} = 4

= 42 3^{4} 5^{2}

3^{4} = 9

= 42 \cdot 9 5^{2}

Apply radical rule:

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

5^{2} = 5

= 42 \cdot 9 \cdot 5

Multiply the numbers:

4 \cdot 9 \cdot 5 = 180

= 1802

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Frequently Asked Questions (FAQ)

What is sqrt(64800) ?
The solution to sqrt(64800) is 180sqrt(2)