What is 10*9sqrt(72) ?

The solution to 10*9sqrt(72) is 540sqrt(2)

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simplify 10*9sqrt(72)

simplify

10 \cdot 972

5402

Solution steps

10 \cdot 972

Prime factorization of

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

= 10 \cdot 9 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}

= 10 \cdot 9 2^{2} \cdot 2 \cdot 3^{2}

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

= 10 \cdot 9 2^{2} 2 3^{2}

Apply radical rule:

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

2^{2} = 2

= 10 \cdot 9 \cdot 22 3^{2}

Apply radical rule:

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

3^{2} = 3

= 10 \cdot 9 \cdot 22 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 10 \cdot 9 \cdot 62

Multiply the numbers:

10 \cdot 9 \cdot 6 = 540

= 5402

36 t^{2} - 1

s^{3} + 3 s^{2} + 4 s + 4

(2 - 3 i) (4 + i)

1 0^{3} (x)^{2} = 0.001

x^{2} - 10 = 6