What is simplify sqrt(40)x^2 ?

The solution to simplify sqrt(40)x^2 is 2sqrt(10)x^2

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Simplify square root of 40x^2

simplify

40 x^{2}

210 x^{2}

Solution steps

40 x^{2}

Prime factorization of

40 : 2^{3} \cdot 5

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

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 5 x^{2}

Multiply the numbers:

2 \cdot 5 = 10

= 210 x^{2}

\frac{( 2 x ^{4} y ^{- 4} z ^{- 3} )}{( 3 x ^{2} y ^{- 3} z ^{4} )}

x, \frac{7}{12} x = \frac{3}{14}

\frac{( sin ( x ) )}{( csc ( x ) )}

x, ∣ x - 6 ∣ = 8

x, - 4 (2 x + 5) + x + 2 = - 11

What is simplify sqrt(40)x^2 ?
The solution to simplify sqrt(40)x^2 is 2sqrt(10)x^2