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pishuonlain [190]
3 years ago
9

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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