Question

(5m+5m+5m)²=375
find the value of m

Answer 1

ANSWER :

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$= ( {5 {m} + 5 {m}+ 5m })^{2} = 375 \\ = ({15 {m} })^{2} = 375 \\ = {255m}^{2} = 375 \\ = {m }^{2} = \frac{375}{255} \\ = {m}^{2} = 1.470$

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Answer 2

The values of m are 1.29 and -1.29.

Step-by-step explanation:

The given equation is

$(5m+5m+5m)^2=375$

We need to find the value of m.

On solve the parentheses we get

$(15m)^2=375$

Taking square root on both sides.

$15m=\pm \sqrt{375}$

$15m=\pm \sqrt{25\times 15}$

$15m=\pm 5\sqrt{15}$

Divide both sides by 15.

$m=\pm \dfrac{5\sqrt{15}}{15}$

$m=\pm \dfrac{\sqrt{15}}{3}$

$m=\pm 1.29$

Therefore, the values of m are 1.29 and -1.29.

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