The solution to 7sqrt(600) is 70sqrt(6)

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simplify 7sqrt(600)

Solution

simplify

7600

706

Decimal Notation

171.46428 \dots

Solution steps

7600

Prime factorization of

600 : 2^{3} \cdot 3 \cdot 5^{2}

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

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

Apply radical rule:

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

5^{2} = 5

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

Multiply the numbers:

2 \cdot 5 = 10

= 7 \cdot 10 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 7 \cdot 106

Multiply the numbers:

7 \cdot 10 = 70

= 706

2 x^{2} - x - 3

2 x^{2} - 12 = 0

2 \frac{16 n}{3}

\frac{x ^{\frac{1}{2}}}{x ^{3}}

450