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Popular >

simplify sqrt(9800)

Solution

simplify

9800

Solution

702

+1

Decimal Notation

98.99494 \dots

Solution steps

9800

Prime factorization of

9800 : 2^{3} \cdot 5^{2} \cdot 7^{2}

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

Apply exponent rule:

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

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

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

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

= 2^{2} 2 5^{2} 7^{2}

Apply radical rule:

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

2^{2} = 2

= 22 5^{2} 7^{2}

Apply radical rule:

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

5^{2} = 5

= 22 \cdot 5 7^{2}

Apply radical rule:

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

7^{2} = 7

= 22 \cdot 5 \cdot 7

Multiply the numbers:

2 \cdot 5 \cdot 7 = 70

= 702

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Frequently Asked Questions (FAQ)

What is sqrt(9800) ?
The solution to sqrt(9800) is 70sqrt(2)