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Popular >

simplify 9sqrt(40)

Solution

simplify

940

Solution

1810

+1

Decimal Notation

56.92099 \dots

Solution steps

940

Prime factorization of

40 : 2^{3} \cdot 5

= 9 2^{3} \cdot 5

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

= 9 2^{2} 2 \cdot 5

Apply radical rule:

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

2^{2} = 2

= 9 \cdot 2 2 \cdot 5

Multiply the numbers:

2 \cdot 5 = 10

= 9 \cdot 210

Multiply the numbers:

9 \cdot 2 = 18

= 1810

Popular Examples

simplify r^{1/6}r^{5/6}simplify

r^{\frac{1}{6}} r^{\frac{5}{6}}

2/3 (x-3/8)= x/2+5/12

\frac{2}{3} (x - \frac{3}{8}) = \frac{x}{2} + \frac{5}{12}

simplify sqrt(3)(sqrt(3)-1)simplify

3 (3 - 1)

9 ∣ 4 p + 2 ∣ + 8 = 35

factor y^2-x^2+12x-36 factor

y^{2} - x^{2} + 12 x - 36

Frequently Asked Questions (FAQ)

What is 9sqrt(40) ?
The solution to 9sqrt(40) is 18sqrt(10)