What is 10sqrt(150)+sqrt(150) ?

The solution to 10sqrt(150)+sqrt(150) is 55sqrt(6)

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simplify 10sqrt(150)+sqrt(150)

simplify

10150 + 150

556

Decimal Notation

134.72193 \dots

Solution steps

10150 + 150

Add similar elements:

10150 + 150 = 11150

= 11150

Prime factorization of

150 : 2 \cdot 3 \cdot 5^{2}

= 11 2 \cdot 3 \cdot 5^{2}

Apply radical rule:

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

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

= 11 2 \cdot 3 5^{2}

Apply radical rule:

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

5^{2} = 5

= 11 2 \cdot 3 \cdot 5

Multiply the numbers:

2 \cdot 3 = 6

= 116 \cdot 5

Multiply the numbers:

11 \cdot 5 = 55

= 556

(2 \frac{x}{5}) (2 \frac{x}{2}) = 2^{14}

8 x^{2} + 16 x + 8 = 0

\frac{( x - 9 ) ( x + 1 )}{x - 2} \geq 0

2 (\frac{7}{25})^{2} - 1

(- 8 k + 1) (- 8 k + 1)

What is 10sqrt(150)+sqrt(150) ?
The solution to 10sqrt(150)+sqrt(150) is 55sqrt(6)