Question

simplify the following
8√15÷2√3​

Answer 1

Question

Simplify the following -: 8√15 ÷ 2√3

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Answer

To simplify this we will first write the expression in p/q form.

⇒ 8√15 ÷ 2√3

⇒ $\dfrac{8\sqrt{15}}{2\sqrt{3}}$

Now we will write all of the terms in the simplest form.

⇒ $\dfrac{8\sqrt{15}}{2\sqrt{3}}$

⇒ $\dfrac{8\times \sqrt{5\times 3} }{2\times \sqrt{3}}$

We will use this formula → $\sqrt{x \times y }= \sqrt{x} \times \sqrt{y}$

⇒ $\dfrac{8\times \sqrt{5\times 3} }{2\times \sqrt{3}}$

⇒ $\dfrac{8\times \sqrt{5}\times \sqrt{ 3 } }{2\times \sqrt{3}}$

We will cross out √3 from numerator and denominator since they are common.

⇒ $\dfrac{8\times \sqrt{5}\times \sqrt{ 3 } }{2\times \sqrt{3}}$

⇒ $\dfrac{8\times \sqrt{5} }{2}$

⇒ $\dfrac{8\sqrt{5}}{2}$

⇒ 4√5

∴ 8√15 ÷ 2√3​  = 4√5

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Answer 2

Answer:

★᭄ꦿ᭄Answer★᭄ꦿ᭄

Question

Simplify the following -: 8√15 ÷ 2√3

_______________________________

Answer

To simplify this we will first write the expression in p/q form.

⇒ 8√15 ÷ 2√3

⇒ $\dfrac{8\sqrt{15}}{2\sqrt{3}}$

Now we will write all of the terms in the simplest form.

⇒ $\dfrac{8\sqrt{15}}{2\sqrt{3}}$

⇒ $\dfrac{8\times \sqrt{5\times 3} }{2\times \sqrt{3}}$

We will use this formula → $\sqrt{x \times y }= \sqrt{x} \times \sqrt{y}$

⇒ $\dfrac{8\times \sqrt{5\times 3} }{2\times \sqrt{3}}$

⇒ $\dfrac{8\times \sqrt{5}\times \sqrt{ 3 } }{2\times \sqrt{3}}$

We will cross out √3 from numerator and denominator since they are common.

⇒ $\dfrac{8\times \sqrt{5}\times \sqrt{ 3 } }{2\times \sqrt{3}}$

⇒ $\dfrac{8\times \sqrt{5} }{2}$

⇒ $\dfrac{8\sqrt{5}}{2}$

⇒ 4√5

∴ 8√15 ÷ 2√3  = 4√5

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