What is 5*10sqrt(72) ?

The solution to 5*10sqrt(72) is 300sqrt(2)

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simplify 5*10sqrt(72)

simplify

5 \cdot 1072

3002

Decimal Notation

424.26406 \dots

Solution steps

5 \cdot 1072

Prime factorization of

72 : 2^{3} \cdot 3^{2}

= 5 \cdot 10 2^{3} \cdot 3^{2}

Apply exponent rule:

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

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

= 5 \cdot 10 2^{2} \cdot 2 \cdot 3^{2}

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

= 5 \cdot 10 2^{2} 2 3^{2}

Apply radical rule:

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

2^{2} = 2

= 5 \cdot 10 \cdot 22 3^{2}

Apply radical rule:

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

3^{2} = 3

= 5 \cdot 10 \cdot 22 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 5 \cdot 10 \cdot 62

Multiply the numbers:

5 \cdot 10 \cdot 6 = 300

= 3002

7 a^{2} - 40 a - 12

\frac{9}{- 4}

9 x^{2} - 3 (x^{2} + x) + 4 y - 3 + 2 x - 5

(- 78) + 69

\frac{( 4 + 2 i )}{( 1 + i )}