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Question 1

Which expression is the simplified form of the square root 150 times b cubed?

6 times b times the square root of 5 times b

5 times b times the square root of 6

6 times b times the square root of 5

5 times b times the square root of 6 times b

Respuesta :

Ckaranja
5 times b times the square root of 6 times b;
[tex] \sqrt{150* b^{3} } [/tex]
[tex] \sqrt{25*6* b^{3} } [/tex]
=5b[tex] \sqrt{6b} [/tex]

Answer:

The simplified form of the given expression is:

       5 times b times the square root of 6 times b .

Step-by-step explanation:

We are given a expression in  words as:

     square root 150 times b cubed.

Now mathematically it is expressed as:

   [tex]\sqrt{150b^3}[/tex]

Now on simplifying as follows:

[tex]\sqrt{150b^3}=\sqrt{5^2\times 3\times 2\times b^2\times b}\\\\\sqrt{150b^3}=\sqrt{(5b)^2\times 6b}\\\\\sqrt{150b^3}=\sqrt{(5b)^2}\times \sqrt{6b}\\\\\sqrt{150b^3}=5b\sqrt{6b}[/tex]

Hence, we obtain the expression:

                     5 times b times the square root of 6 times b .

(i.e.  [tex]5b\sqrt{6b}[/tex]   )

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