simplify.\n$10\\sqrt{147}$

Explanation:

Step1: Factor 147

Factor 147 into prime factors: ( 147 = 49 \times 3 ), and ( 49 = 7^2 ). So, ( \sqrt{147} = \sqrt{49 \times 3} ).

Step2: Simplify the square root

Using the property ( \sqrt{ab} = \sqrt{a} \times \sqrt{b} ) (for ( a \geq 0, b \geq 0 )), we have ( \sqrt{49 \times 3} = \sqrt{49} \times \sqrt{3} = 7\sqrt{3} ).

Step3: Multiply by 10

Now, multiply this result by 10: ( 10 \times 7\sqrt{3} = 70\sqrt{3} ).

Answer:

( 70\sqrt{3} )