Question

Simplify square root of five times the quantity ten minus four square root of two. 14 fifteen square root of two five square root of two end root minus four square root of ten ten square root of five end root minus four square root of ten

Answer 1

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√5 x (10 - 4√2)

Multiply the value outside the bracket by everything inside:

10√5 - 4√10

Thus, your answer is ten square root of five minus four square root of 10

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Answer 2

Answer:

$\sqrt{2}$

Step-by-step explanation:

The given expression is

$\sqrt{5 \times 10} -4\sqrt{2}$

First, we solve the product

$\sqrt{50} -4\sqrt{2}$

Then, separate number 50 in two factor

$\sqrt{2 \times 25}- 4\sqrt{2}$

But, we know that $\sqrt{25}=5$, so

$5\sqrt{2} -4\sqrt{2}$

Now, we group whole numbers, and solve

$(5-4)\sqrt{2}=\sqrt{2}$

Therefore, the given expression is equal to $\sqrt{2}$