Question

simplyfy 2√50+3√32+4√18​

Answer 1

Answer:

$\huge\orange {34 \sqrt{2}}$

$\huge{OR}$

$\huge\orange{48.0828 \: (approx)}$

Step-by-step explanation:

According to the Q,

$> > 2 \sqrt{50} + 3 \sqrt{32} + 4 \sqrt{18}$

$> > 2 \sqrt{25 \times 2} + 3 \sqrt{16 \times 2} + 4 \sqrt{9 \times 2}$

$> > (2 \times 5) \sqrt{2} + (3 \times 4) \sqrt{2} + (4 \times 3) \sqrt{2}$

$> > 10 \sqrt{2} + 12 \sqrt{2} + 12 \sqrt{2}$

$\orange {> > 34 \sqrt{2}}$

$> > 34 \times 1.4142$

$\orange {> > 48.0828 \: (approx)}$

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Answer 2

Answer:

$= 2 \sqrt{50} + 3 \sqrt{32} + 4 \sqrt{18}$

For add these Surds we have to check that the number under the root is same for all

For making that,

Taking LCM of radicands

50 = 5² × 2

32 = 4² × 2

18 = 3² × 2

Substituting

We get,

= 2√5²×2 + 3√4²×2+4√3²×2

= 10√2 + 12√2 + 12√2

= 34√2

34√2 = 48.08