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3 years ago

Evaluate 5√2 + √18

Mathematics

2 answers:

Nitella [24]3 years ago

4 0

Answer:

8 $\sqrt{2}$

Step-by-step explanation:

Using the rule of radicals

• $\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$ , then

$\sqrt{18}$

= $\sqrt{9(2)}$ = $\sqrt{9}$ × $\sqrt{2}$ = 3 $\sqrt{2}$

Hence

5 $\sqrt{2}$ + 3 $\sqrt{2}$ = 8 $\sqrt{2}$ ≈ 11.31

AlekseyPX3 years ago

3 0

Answer:

$\large\boxed{5\sqrt2+\sqrt{18}=8\sqrt2}$

Step-by-step explanation:

$5\sqrt2+\sqrt{18}=5\sqrt2+\sqrt{9\cdot2}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=5\sqrt2+\sqrt9\cdot\sqrt2=5\sqrt2+3\sqrt2=(5+3)\sqrt2=8\sqrt2$

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