What is 9*8sqrt(90) ?

The solution to 9*8sqrt(90) is 216sqrt(10)

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simplify 9*8sqrt(90)

simplify

9 \cdot 890

21610

Solution steps

9 \cdot 890

Prime factorization of

90 : 2 \cdot 3^{2} \cdot 5

= 9 \cdot 8 2 \cdot 3^{2} \cdot 5

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

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

= 9 \cdot 8 3^{2} 2 \cdot 5

Apply radical rule:

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

3^{2} = 3

= 9 \cdot 8 \cdot 3 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 9 \cdot 8 \cdot 310

Multiply the numbers:

9 \cdot 8 \cdot 3 = 216

= 21610

(x - 8)^{4}

18 x^{4} y^{7}

- 7 + (- 11)

- 11 + (- 8)

lo g_{4} (81) - lo g_{2} (3)