Question

simplify √1000X250
please reply fast......

Answer 1

Hi dr. ...
=root 250000
=root 500×500
=500
simple answer=500

HOPE THIS HELPS...♥♥♥

Answer 2

$\bf \red{\sqrt{1000 \times 250} = 500 }$

Given:

• $\sqrt{1000 \times 250}$

To find:

• Simplify the expression.

Solution:

Concept to be used:

1. $\sqrt{( {a}^{2}) } = a$
2. $\sqrt{ab} = \sqrt{a} \times \sqrt{b}$

Step 1:

Rewrite the terms in the square root.

$\sqrt{1000 \times 250} = \sqrt{10000 \times 25}$

Step 2:

Write in terms of squares.

$\sqrt{1000\times 250} = \sqrt{( {100)}^{2} \times ( {5)}^{2} }$

or

$\implies \sqrt{ {(100)}^{2} } \times \sqrt{ {(5)}^{2} }$

or

$\implies 5 \times 100$

or

$\implies \: 500$

Thus,

$\bf \sqrt{1000 \times 250} = 500$

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