3 years ago

Simplify radicals Problems attached please help!!!

Mathematics

1 answer:

Masja [62]3 years ago

4 0

Answer:

G4. 24

G5. 14

G6. 17

Step-by-step explanation:

It is given some some radicals

<u>To find the simplified form</u>

G4. 2√144

We have √144 = ±12

2√144 = 2 * (+12) = 24 or 2 * (-12) = -24

take +24

G5. √196

we have 14² = 196

√196 = ±14

take +14

G6. √289

we have 17² = 289

√289 = ±17

take +17

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Rina8888 [55]

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3 years ago

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Answer:

Step-by-step explanation:

Rationalize the denominator by multiplying both denominator & numerator by the conjugate of the denominator.

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$\frac{6}{1+\sqrt{3}}=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{(1+\sqrt{3})(1-\sqrt{3})}\\\\=\frac{6(1-\sqrt{3})}{1^{2}-(\sqrt{3})^{2}}\\\\=\frac{6(1-\sqrt{3})}{1-3}\\\\=\frac{6(1-\sqrt{3})}{-2}\\\\=(-3)(1-\sqrt{3})\\\\=-3+3\sqrt{3}$