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Popular >

simplify sqrt(297)

Solution

simplify

297

Solution

333

+1

Decimal Notation

17.23368 \dots

Solution steps

297

Prime factorization of

297 : 3^{3} \cdot 11

= 3^{3} \cdot 11

Apply exponent rule:

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

3^{3} \cdot 11 = 3^{2} \cdot 3 \cdot 11

= 3^{2} \cdot 3 \cdot 11

Apply radical rule:

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

3^{2} \cdot 3 \cdot 11 = 3^{2} 3 \cdot 11

= 3^{2} 3 \cdot 11

Apply radical rule:

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

3^{2} = 3

= 3 3 \cdot 11

Multiply the numbers:

3 \cdot 11 = 33

= 333

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(15625 x)^{\frac{1}{6}}

(x+4)^2(x+1)(x+7)<= 0

(x + 4)^{2} (x + 1) (x + 7) \leq 0

Frequently Asked Questions (FAQ)

What is sqrt(297) ?
The solution to sqrt(297) is 3sqrt(33)